A truck must travel from New York to Los Angeles. As shown in the below Figure, a variety of routes are available. The number associated with each arc is the number of gallons of fuel required by the truck to traverse the arc. 1800 Cleveland Phoenix 400 400 900 New York St. Louis 1000 600 1200 Salt Nashville Lake City 1) Formulate as an MCNFP the problem of finding the New York to Los Angeles route t uses the minimum amount of gas. 950 800 1100 900 600 600 Dallas 1300 Los Angeles

Answers

Answer 1

To formulate the problem as a Minimum Cost Network Flow Problem (MCNFP), follow these steps:

1. Represent the cities as nodes and the routes between them as directed arcs.
2. Assign the number of gallons required for each arc as the cost.
3. Set the flow capacity for each arc to 1 (since the truck only travels the route once).
4. Set the supply at the source node (New York) to 1, and the demand at the sink node (Los Angeles) to -1.

To solve this as an MCNFP, create a directed graph with cities as nodes, routes as arcs, and fuel consumption as arc costs. Set arc capacities to 1, supply at New York to 1, and demand at Los Angeles to -1. Find the minimum cost flow to determine the route using the least gas.

By formulating the problem as an MCNFP and finding the minimum cost flow, you can efficiently determine the optimal route from New York to Los Angeles that uses the least amount of gas.

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Related Questions

Drive to Washington, DC, and take the bus to Atlantic City from there. Your car has a 77% chance of making it to DC. If it doesn't make it to DC, you can hitchhike there with a 55% chance of success.
Calculate the reliability.

Answers

The ability of a system, method, or object to consistently carry out its intended purpose or produce consistent outcomes throughout time is referred to as reliability.

To calculate the reliability, we need to calculate the probability of the car making it to DC or hitchhiking to DC. Then we'll combine these probabilities using the addition rule of probability.

Let A = event that the car makes it to DC, and B = event that the car doesn't make it to DC and we hitchhike there. Then, the probability of the car making it to DC is P(A) = 0.77, and the probability of hitchhiking there if the car doesn't make it is P(B) = 0.55.

We can find the probability of getting to DC by either method using the addition rule of probability: P(A or B) = P(A) + P(B) - P(A and B)The probability of both events happening (car not making it to DC AND hitchhiking there) is unknown, but we know that these events are not independent. If the car doesn't make it to DC, then the probability of hitchhiking there is not as high as it would be if the car had made it to DC (because you would have to hitchhike further). So we can't simply multiply the probabilities of the two events.

However, we do know that the probability of the car making it to DC and then also hitchhiking there is zero (because the car would have made it to DC), so we can use the formula P(A and B) = 0. We can now plug in the values we have to get: P(A or B) = P(A) + P(B) - P(A and B) P(A or B) = 0.77 + 0.55 - 0 P(A or B) = 1.32 - 0 P(A or B) = 1.32Since probabilities are always between 0 and 1, we need to adjust our answer to fit in that range. We can do this by setting P(A or B) = 1 (since we can't have a probability greater than 1).

Therefore, the reliability of this plan is 1, or 100%. This means that we can be completely confident that we will either make it to DC in our car or hitchhike there, and we don't need to worry about any other possible outcomes.

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Selected ledger accounts for Realm Company are given below for the just-completed year: Raw Materials Bal. 1/1 Debits ? 42,000 480,000 Credits Bal.31/12 84,000 Manufacturing Overhead Debits 429,800 Credits ? Work in Process Credits 912,100 Bal. 1/1 Direct materials Direct labour Overhead 88,000 344,000 134,000 447,200 Bal. 31/12 ? Factory Wages Payable Debits 209,000 Bal. 1/1 Credits 22,000 205,000 Bal. 31/12 18,000 Finished Goods Credit ? Bal. 1/1 Debits 61,600 ? Bal. 31/12 166,000 Cost of Goods Sold Debits ? Required: 1. What was the cost of raw materials put into production during the year? Cost of raw materials 2. How much of the materials in requirement 1 consisted of indirect materials? Indirect materials 3. How much of the factory labour cost for the year consisted of indirect labour? Indirect labour cost 4. What was the cost of goods manufactured for the year? Cost of goods manufactured 5. What was the cost of goods sold for the year (before considering underapplied or overapplied overhead)? Cost of goods sold

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Therefore, the cost of goods sold for the year (before considering underapplied or overapplied overhead) was $1,521,900. The cost of raw materials put into production during the year can be calculated as:

Raw materials used = Beginning balance of raw materials + Purchases - Ending balance of raw materials

Cost of raw materials used = $42,000 + $480,000 - $84,000 = $438,000

Therefore, the cost of raw materials put into production during the year was $438,000.2. Indirect materials can be calculated as the difference between the total manufacturing overhead and the indirect labour.

Manufacturing overhead = $429,800                                                                                                                               Indirect labour = $447,200 - ($88,000 + $344,000) = $15,200

Indirect materials = $429,800 - $15,200 = $414,600

Therefore, $414,600 of the materials in requirement 1 consisted of indirect materials. The total factory labour cost is $447,200, and direct labour cost is $344,000. Therefore, indirect labour cost can be calculated as: Indirect labour = Total labour cost - Direct labour cost = $447,200 - $344,000 = $103,200. Therefore, the factory labour cost for the year consisted of $103,200 of indirect labour.

The cost of goods manufactured can be calculated as:

Cost of goods manufactured = Direct materials + Direct labour + Manufacturing overhead + Beginning work-in-process inventory - Ending work-in-process inventory/ Cost of goods manufactured = $88,000 + $344,000 + $447,200 + $912,100 - $166,000 = $1,625,300. Therefore, the cost of goods manufactured for the year was $1,625,300.5.

The cost of goods sold can be calculated as: Cost of goods sold = Beginning finished goods inventory + Cost of goods manufactured - Ending finished goods inventory.

Cost of goods sold = $61,600 + $1,625,300 - $166,000 = $1,521,900. Therefore, the cost of goods sold for the year (before considering underapplied or overapplied overhead) was $1,521,900.

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In 20x3, G Co reported product sales of $7178 million and trade receivables of $794 million in 20X2, product sales were $584.9 million and trade receivables were $714 million What was its receivables tumover ratio for 20x3?

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To calculate the receivables turnover ratio for 20X3, we use the formula:

Receivables Turnover Ratio = Net Credit Sales / Average Accounts Receivable

First, we need to find the average accounts receivable. We can calculate it by adding the beginning and ending trade receivables for the year and dividing by 2.

Average Accounts Receivable = (Trade Receivables at the beginning of 20X3 + Trade Receivables at the end of 20X3) / 2

Average Accounts Receivable = ($714 million + $794 million) / 2 = $754 million

Next, we calculate the net credit sales for 20X3 by subtracting the credit sales in 20X2 from the credit sales in 20X3:

Net Credit Sales = Product Sales in 20X3 - Product Sales in 20X2

Net Credit Sales = $7,178 million - $584.9 million = $6,593.1 million

Now we can calculate the receivables turnover ratio:

Receivables Turnover Ratio = $6,593.1 million / $754 million

Receivables Turnover Ratio = 8.74

Therefore, the receivables turnover ratio for 20X3 is 8.74.

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Ltd. is a factory located in a remote village. Recently, due to limited electricity supply, its production and sales volume has dropped from the normal level of 30,000 units to 8,000 units per month. A Ltd. was told that the electricity shortage will continue for the next 3 months; therefore, it is contemplating to close down the factory for the next 3 months. If it does close down the factory, its fixed manufacturing overhead costs will be reduced by $45,000 per month and its fixed selling costs will decrease by 10%. However, the factory restart after the 3-month closure will incur $8,000 in total. The current selling price of its product is $22 per unit, variable costs are $14 per unit, fixed manufacturing overhead costs are $150,000 per month, and fixed selling costs are $30,000 per month. Required: (Round to 2 decimal places, Show workings) (1) Should A Ltd. close down its factory for 3 months? Why? Support your answer with calculations

Answers

A Ltd. should not close down its factory for 3 months. To determine whether A Ltd. should close down its factory for 3 months, we need to compare the costs and benefits of doing so.

First, let's calculate the total cost per unit:

Total cost per unit = variable cost per unit + (fixed manufacturing overhead costs + fixed selling costs)/number of units produced

Total cost per unit = $14 + ($150,000 + $30,000)/30,000

Total cost per unit = $19

With the current selling price of $22 per unit, A Ltd. is making a profit of $3 per unit.

Now, let's consider the costs and benefits of closing down the factory for 3 months.

If A Ltd. closes down the factory for 3 months, it will save $45,000 per month in fixed manufacturing overhead costs and 10% of its fixed selling costs, which is $3,000 per month.

The total cost savings for the 3-month period would be:

Total cost savings = 3 x ($45,000 + $3,000)

Total cost savings = $144,000

However, A Ltd. will also incur a restart cost of $8,000 after the 3-month closure.

If A Ltd. continues production for the next 3 months, based on the current production level of 8,000 units per month, it will generate a total revenue of:

Total revenue = 8,000 x $22 x 3

Total revenue = $1,584,000

The total cost of producing 24,000 units during the 3-month period would be:

Total cost = 24,000 x $19

Total cost = $456,000

The profit generated from continuing production for the next 3 months would be:

Profit = Total revenue - Total cost

Profit = $1,584,000 - $456,000

Profit = $1,128,000

Based on the above calculations, it is more beneficial for A Ltd. to continue production for the next 3 months rather than closing down the factory. The profit generated from continuing production for the next 3 months is $1,128,000, which is higher than the cost savings from closing down the factory ($144,000) minus the restart cost of $8,000, which is a total of $136,000. Therefore, A Ltd. should not close down its factory for 3 months.

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Analytical procedures are most useful
a.
for identifying control risk
b.
as substantive tests of details
c.
for identifying unusual behavior in data
d.

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c. for identifying unusual behavior. They are typically performed during the planning and overall review stages of an audit or financial analysis.

Analytical procedures involve the evaluation of financial information by analyzing plausible relationships among both financial and non-financial data. They are typically performed during the planning and overall review stages of an audit or financial analysis. While analytical procedures can provide some evidence about control risk and may be used as substantive tests of details, their primary purpose is to identify unusual behavior in data and highlight areas that may require further attention or investigation.

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Question 1 5 pts Columbus imposed a 2.5% charge on hotel rooms. It not considered a tax because all revenue from the tax was used directly to build a downtown stadium. O True False Question 2 5 pts Am

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Question 1 asks whether the 2.5% charge imposed by Columbus on hotel rooms is considered a tax. The statement clarifies that all revenue from the charge was used directly to build a downtown stadium.

The task is to determine if the charge qualifies as a tax.

The 2.5% charge imposed on hotel rooms in Columbus may or may not be considered a tax, depending on the specific criteria and legal definitions in place. While taxes are typically imposed by governments for general revenue purposes, in this case, the revenue generated from the charge is earmarked exclusively for the construction of a downtown stadium. This indicates a specific purpose for the funds rather than general revenue collection. Whether this charge meets the legal definition of a tax may depend on local regulations and how they define taxes and their designated uses.

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when a firm's earnings are falling more rapidly than its stock price, its p/e ratio will multiple choice remain the same. go up. go down. either go up or down.

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The P/E ratio can be affected by a variety of factors, including changes in a company's earnings and stock price.

When a firm's earnings are falling more rapidly than its stock price, its P/E ratio will go up.

When a firm's earnings are falling more rapidly than its stock price, its P/E ratio will go up. Here is an explanation for this:The price-to-earnings ratio (P/E ratio) is the ratio of the price of a share of stock to the earnings per share. The P/E ratio is a valuation metric that is often used to evaluate the relative value of a company's stock.When a firm's earnings are falling more rapidly than its stock price, the P/E ratio will go up.This is because the denominator of the P/E ratio, which is earnings per share, is decreasing more rapidly than the numerator, which is the stock price. As a result, the P/E ratio will increase as the stock becomes more expensive relative to the earnings of the company.

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State whether the following statements are true or false and explain your answer in each case in
no more than 3 lines. (6 questions, 5 points each, 30 points total)
1) A seller will always get identical revenue whether she runs an English auction or a first price
sealed bid auction
2) With one dimensional policy space and any type of preference structure, the social choice following a majority voting system will select the outcome most preferred by the median voter.
3) With the right set of endowments, any Pareto Efficient allocation can be achieved as a competitive general equilibrium.
4) In repeated games, cooperation becomes harder to achieve as the players become more
patient (i.e. the discount factor becomes higher).
5) When prospective employees are able to signal their ability, employers are no better off. employees with lower productivity are definitely worse off, and even employees with higher productivity might be worse off.
6) Under a Rawlsian social welfare function, a society with one million poor people with a utility of 10, has the same social welfare as a society with 999,999 rich people with a utility of 1000 and one poor person with a utility of 10.

Answers

1) false. English auction, the seller earns the second-highest bid.

2)  True; 3) true: 4) false: 5) false: 6) false.

1) The statement is false. A seller will not always get identical revenue whether she runs an English auction or a first price sealed bid auction. In a first price sealed bid auction, the seller earns the highest bid whereas in an English auction, the seller earns the second-highest bid.

2) The statement is true. With one dimensional policy space and any type of preference structure, the social choice following a majority voting system will select the outcome most preferred by the median voter.

3) The statement is true. With the right set of endowments, any Pareto Efficient allocation can be achieved as a competitive general equilibrium.

4) The statement is false. In repeated games, cooperation becomes easier to achieve as the players become more patient (i.e. the discount factor becomes higher).

5) The statement is false. When prospective employees are able to signal their ability, employers are better off because they can better differentiate between high and low productivity employees. Employees with lower productivity are worse off, but employees with higher productivity are better off due to the ability to signal their ability.

6) The statement is false. Under a Rawlsian social welfare function, a society with one million poor people with a utility of 10, has a lower social welfare than a society with 999,999 rich people with a utility of 1000 and one poor person with a utility of 10.

Rawlsian social welfare function is based on the idea that welfare should be maximized for the worst-off member of society, not on the total utility of society.

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QS 13-13 Dividends on noncumulative preferred stock LO C2
Green Planet Corp. has (a) 4,200 shares of
noncumulative 12% preferred stock with a $2 par value and
(b) 16,500 shares of common stock with a

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Dividends on noncumulative preferred stock are not accrued or carried forward to future periods if they are not paid in a given period.

Noncumulative preferred stock entitles the shareholders to receive a fixed dividend amount, usually expressed as a percentage of the par value of the stock. However, if the company does not declare or pay dividends in a particular period, the shareholders of noncumulative preferred stock do not have the right to claim or accumulate those dividends in the future.

In the case of Green Planet Corp., they have 4,200 shares of noncumulative 12% preferred stock with a $2 par value. This means that each share of preferred stock is entitled to a dividend of 12% of its $2 par value. If the company decides not to pay dividends in a specific period, the shareholders of the noncumulative preferred stock will not be able to claim or accumulate those dividends in subsequent periods. Dividends on noncumulative preferred stock are paid at the discretion of the company's board of directors and are not legally binding obligations.

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Mr. Mulenga receives utility from days spent travelling on vacation domestically (D) and days spend in travelling in a foreign country (F) as given by the utility U (D, F) =DF. The price of a day spent traveling domestically is K 32000 and in a foreign country K 40000. Mulenga's annual budget is K 160000. A. Find Mulenga's maximizing choices of days traveling domestically and in a foreign country. Find also his utility bundle from consuming that bundle. [5 marks] B. Suppose that the price of traveling domestically increases to K 41000 per day. Calling his budget for travelling X. (suppose by now it is unknown) find the demand for D and F under the new price which is a function of x. [4 marks] C. The income necessary to make Mr. Mulenga reach the level of satisfaction as before the price change. [4 marks] D. Compute the quantity demanded with the new prices and the original income. [4 marks] E. Compute the quantity demanded with the new prices and the income you found in C above. [4 marks] F. Using the previous answers, tell us what is the total change in quantity of D due to the price increase in PD that the consumer experiences and what part of that change is due to income or substitution effect. [4 marks]

Answers

A. To find Mr. Mulenga's maximizing choices, we need to determine the optimal allocation of days spent traveling domestically (D) and days spent traveling in a foreign country (F) based on his budget constraint and utility function. Given the prices per day and the budget, we can set up the following problem:

Maximize U(D, F) = DF

subject to the budget constraint: K32000D + K40000F = K160000

To solve this problem, we can use the method of Lagrange multipliers. The Lagrangian function is L(D, F, λ) = DF + λ(K32000D + K40000F - K160000).

Taking the partial derivatives and setting them equal to zero, we find:

∂L/∂D = F + λK32000 = 0

∂L/∂F = D + λK40000 = 0

K32000D + K40000F = K160000 (budget constraint)Solving these equations simultaneously, we can find the values of D, F, and λ that satisfy the optimization problem. The specific values will depend on the given values of K32000 and K40000.

B. If the price of traveling domestically increases to K41000 per day, the new budget constraint becomes: K41000D + K40000F = X, where X is the new budget for traveling. We need to determine the demand for D and F as a function of the new budget X.

To find the demand, we can rearrange the budget constraint equation: D = (X - K40000F)/K41000. This equation represents the demand for D in terms of the budget X and the quantity of F chosen.

C. To determine the income necessary to maintain Mr. Mulenga's level of satisfaction as before the price change, we need to find the value of X that makes his utility bundle the same as before. Since his utility function is U(D, F) = DF, the level of satisfaction is solely determined by the product of D and F. Therefore, to maintain the same level of satisfaction, we need to solve the following equation: DF = D'F', where D' and F' are the new quantities demanded for D and F under the new price.

D. To compute the quantity demanded with the new prices and the original income, we can substitute the original income K160000 and the new prices into the budget constraint equation: K41000D + K40000F = K160000. Solving this equation will give us the quantities of D and F demanded under the new prices and the original income.

E. Similarly, to compute the quantity demanded with the new prices and the income found in part C, we can substitute the income X and the new prices into the budget constraint equation: K41000D + K40000F = X. Solving this equation will give us the quantities of D and F demanded under the new prices and the adjusted income.

F. By comparing the quantities demanded in parts D and E, we can determine the total change in the quantity of D due to the price increase (PD) and analyze the income and substitution effects. The change in the quantity of D can be decomposed into the income effect and the substitution effect. The income effect measures the change in quantity demanded due to the change in income, while the substitution effect measures the change in quantity demanded due to the change in relative prices. The specific calculations will depend on the values obtained in parts D and E.

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Natcher Corporation collects 45% of a month's sales in the month of sale, 40% in the month following sale, and 15% in the second month following sale. The company has found that 5% of their sales are uncollectible. Budgeted sales for the upcoming four months are:
August budgeted sales $280,000​
September budgeted sales $320,000​
October budgeted sales $400,000​
November budgeted sales $230,000​
The amount of cash that will be collected in November is budgeted to be
A. $103,500
B. $338,500
C. $311,500
D. $230,000

Answers

To determine the amount of cash that will be collected in November, we need to calculate the cash collection for each month's sales and then sum them up.

August sales: $280,000 * 45% = $126,000

September sales: $320,000 * 40% = $128,000

October sales: $400,000 * 15% = $60,000

Total cash collected from sales in August, September, and October:

$126,000 + $128,000 + $60,000 = $314,000

Now, we need to subtract the expected uncollectible amount:

$314,000 - 5% of $280,000 - 5% of $320,000 - 5% of $400,000 = $314,000 - $14,000 - $16,000 - $20,000 = $264,000

Therefore, the amount of cash that will be collected in November is $264,000.

The correct answer is not listed among the options provided. Please note that the actual amount may vary depending on the specific payment behavior and collection patterns of Natcher Corporation.

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At the beginning of the current period, Vaughn had balances in Accounts Receivable of $273,000 and in Allowance for Doubtful Accounts of $9,200 (credit). During the period, it had net credit sales of $870,000 and collections of $826,500. It wrote off as uncollectible accounts receivable of $6,700. However, a $3,000 account previously written off as uncollectible was recovered before the end of the current period. Uncollectible accounts are estimated to total $25,200 at the end of the period. (Omit cost of goods sold entries.) (a-d) (a) Prepare the entries to record sales and collections during the period. (b) (c) Prepare the entry to record the write-off of uncollectible accounts during the period. Prepare the entries to record the recovery of the uncollectible account during the period. Prepare the entry to record bad debt expense for the period. (d) No. Account Titles and Explanation (a) (To record sales) (To record cash collected during the period) (b) Debit 100 Credit 11 (c) (d) (To reinstate account previously written off) (To record the recovery of the uncollectible account during the period). II 11

Answers

Accounts Receivable is referred to as a current asset account. It is recorded on the balance sheet as a company's total unpaid invoices to its customers. Accounts Receivable typically have credit terms that require customers to pay within 30, 60, or 90 days. The Allowance for Doubtful Accounts is a contra-asset account that is deducted from Accounts Receivable.

This account represents the amount of money that is anticipated to be uncollectible from customers. The account balances in Accounts Receivable and the Allowance for Doubtful Accounts at the beginning of the period are used to calculate the net realizable value of the accounts receivable.

(a) The entry to record sales during the period is to debit Accounts Receivable and credit Sales for $870,000.(b) The entry to record the write-off of uncollectible accounts during the period is to debit Allowance for Doubtful Accounts and credit Accounts Receivable for $6,700.(c) The entry to record the recovery of the uncollectible account during the period is to debit Accounts Receivable and credit Allowance for Doubtful Accounts for $3,000.(d) The entry to record bad debt expense for the period is to debit Bad Debt Expense and credit Allowance for Doubtful Accounts for $19,500 (calculated as $25,200 estimated uncollectible accounts - $9,200 credit balance in Allowance for Doubtful Accounts). The remaining $5,700 ($25,200 estimated uncollectible accounts - $19,500 bad debt expense) will be the ending balance in Allowance for Doubtful Accounts.150 wordsAccounts Receivable is a current asset account that represents the total unpaid invoices to a company's customers. The Allowance for Doubtful Accounts is a contra-asset account that is deducted from Accounts Receivable. This account represents the amount of money that is anticipated to be uncollectible from customers. The account balances in Accounts Receivable and the Allowance for Doubtful Accounts at the beginning of the period are used to calculate the net realizable value of the accounts receivable. The journal entries to record sales during the period are to debit Accounts Receivable and credit Sales for $870,000. The entry to record the write-off of uncollectible accounts during the period is to debit Allowance for Doubtful Accounts and credit Accounts Receivable for $6,700. The entry to record the recovery of the uncollectible account during the period is to debit Accounts Receivable and credit Allowance for Doubtful Accounts for $3,000. The entry to record bad debt expense for the period is to debit Bad Debt Expense and credit Allowance for Doubtful Accounts for $19,500 (calculated as $25,200 estimated uncollectible accounts - $9,200 credit balance in Allowance for Doubtful Accounts). The remaining $5,700 ($25,200 estimated uncollectible accounts - $19,500 bad debt expense) will be the ending balance in Allowance for Doubtful Accounts.

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Meta Corporation had sales totaling $2,000,000 in the fiscal year 2021, Some ratios for the company are listed below. Use this information to determine the dollar values of various income statement accounts. Show your work! Gross profit margin Operating profit margin Return on total assets Return on equity Total asset turnover Net profit margin Sales Cost of goods sold Gross profit Operating expenses Operating profit Interest expense Earnings before tax Tax expense 40% Net profit after tax Meta Corporation. Year ended Dec, 31, 2021 60% 30% 20% 25% 2 5% Meta Corporation. Income statement Year ended Dec, 31, 2021 $2,000,000 800000 1200,00

Answers

Using the above calculations, we have determined the values for the following income statement accounts:

Sales: $2,000,000

Cost of goods sold: $1,200,000

Gross profit: $800,000

Operating expenses: Not provided

Operating profit: $600,000

Net profit after tax: $500,000

Let's calculate the values step by step:

1. Gross profit margin = Gross profit / Sales

Given Gross profit margin = 40%

Sales = $2,000,000

Gross profit = Gross profit margin * Sales

Gross profit = 0.40 * $2,000,000

Gross profit = $800,000

2. Cost of goods sold = Sales - Gross profit

Cost of goods sold = $2,000,000 - $800,000

Cost of goods sold = $1,200,000

3. Operating profit margin = Operating profit / Sales

Given Operating profit margin = 30%

Operating profit = Operating profit margin * Sales

Operating profit = 0.30 * $2,000,000

Operating profit = $600,000

4. Return on total assets = Net profit after tax / Total assets

Given Return on total assets = 20%

Total assets = Net profit after tax / Return on total assets

Total assets = $600,000 / 0.20

Total assets = $3,000,000

5. Return on equity = Net profit after tax / Equity

Given Return on equity = 25%

Equity = Net profit after tax / Return on equity

Equity = $600,000 / 0.25

Equity = $2,400,000

6. Total asset turnover = Sales / Total assets

Given Total asset turnover = 2

Total assets = Sales / Total asset turnover

Total assets = $2,000,000 / 2

Total assets = $1,000,000

7. Net profit margin = Net profit after tax / Sales

Given Net profit margin = 25%

Net profit after tax = Net profit margin * Sales

Net profit after tax = 0.25 * $2,000,000

Net profit after tax = $500,000

8. Interest expense = Operating profit - Earnings before tax

Given Operating profit = $600,000

Earnings before tax = Operating profit + Interest expense

Interest expense = Earnings before tax - Operating profit

We don't have the specific value for Earnings before tax, so we cannot calculate the interest expense without further information.

To determine the dollar values of various income statement accounts, we can use the given ratios and the sales figure of $2,000,000.

Please note that without additional information, we cannot determine the specific values for operating expenses and interest expense.

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Question A reason for diseconomies of scale and be

Select one alternative:
a. A lack of flexible manufacturing systems.
b. A lack of absorptive capacity. Inefficiencies due to unrelated diversification.
c. Inefficiencies due to increasing firm-size and bureaucracy cost.

Answers

A reason for diseconomies of scale can be (c.) Inefficiencies due to increasing firm-size and bureaucracy cost.

Diseconomies of scale refer to a situation where the cost per unit of production increases as a company grows in size. It occurs when the advantages of scale diminish or are outweighed by the disadvantages. One reason for diseconomies of scale is the inefficiencies that arise due to increasing firm size and the associated bureaucracy costs.

As a company expands and becomes larger, it often becomes more complex to manage, leading to increased bureaucracy and administrative costs.

These additional layers of management and decision-making processes can slow down decision-making, hinder communication, and create inefficiencies within the organization. As a result, the cost per unit of production may increase, leading to diseconomies of scale.

Inefficiencies due to increasing firm-size and bureaucracy costs can contribute to diseconomies of scale. It is important for organizations to carefully manage their growth and organizational structure to avoid such inefficiencies and maintain economies of scale.

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Variable costing is more useful than absorption costing for:
i. Special order decisions
ii. Short term pricing of products
iii. Long term pricing of products
A.
i and ii
B.
ii
C.
i
D.
i, ii and iii

Answers

Variable costing is more useful than absorption costing for (C) i. special order decisions.

Variable costing treats fixed manufacturing overhead costs as period costs and only includes variable production costs (direct materials, direct labor, and variable manufacturing overhead) in the product cost. On the other hand, absorption costing allocates both variable and fixed manufacturing overhead costs to products.

i. Special order decisions: Variable costing is more useful in special order decisions because it allows managers to determine the incremental cost of producing additional units. By focusing on variable costs, managers can make informed decisions about accepting or rejecting special orders without considering the impact of fixed overhead costs that are not relevant to the decision.

ii. Short-term pricing of products: Variable costing is also more useful in short-term pricing decisions. By considering only variable costs, managers can better understand the cost behavior of products and set prices that cover variable expenses and contribute to short-term profitability.

iii. Long-term pricing of products: The statement does not mention long-term pricing decisions. As such, it cannot be concluded that variable costing is more useful than absorption costing for long-term pricing.

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Four different prefab-building locations have been suggested, of which only one will be selected. Cost and annual net cash- flow information are detailed in the table below. The annual net cash-flow series vary due to differences in maintenance, labour costs, transportation charges, etc. If the MARR is 10%, use ROR analysis to select the one economically-best location. Location Building cost, $ Annual cash flow, A B C D 200,000-275,000-190,000-350,000 $+22,000+35,000+19,500+42,000 Life, Years 30 30 30 30

Answers

Location D is economically the best choice based on the Rate of Return (ROR) analysis.

ROR analysis involves comparing the annual cash flows of different options to the initial investment to determine the rate of return. The option with the highest rate of return is considered economically the best choice. Location[tex]C: ROR_C = (19,500 / 190,000)^(1/30) - 1 = 0.0313[/tex] or 3.13% Location D: ROR_D = [tex](42,000 / 350,000)^(1/30) - 1 = 0.0326[/tex] or 3.26% Among the four options, Location D has the highest rate of return at 3.26%. Therefore, it is economically the best choice based on the ROR analysis, considering a MARR (Minimum Acceptable Rate of Return) of 10%.

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the ________ is a comparison of the wealth in the top and bottom quintiles of an economy.

Answers

The wealth ratio is a comparison of the wealth in the top and bottom quintiles of an economy.

Wealth ratio, also known as wealth disparity, is the ratio of the net wealth of the richest group of individuals in a given population to the net wealth of the poorest group of individuals in that population. It is usually expressed as a percentage and provides a measure of how income and wealth are distributed throughout society. In general, the wealth ratio is higher in developed countries than in developing ones, and this disparity has been increasing over time. According to a report published by the World Economic Forum, the wealth ratio in the United States, for example, has risen from 12:1 in 1963 to 24:1 in 2018. This means that the top 1% of earners in the US now owns as much wealth as the bottom 50% combined. This trend has significant implications for social and economic equality, as it often leads to unequal access to education, healthcare, and other essential services, as well as limited opportunities for upward social mobility.

In conclusion, the wealth ratio is a critical indicator of the state of income inequality in an economy, and addressing it should be a top priority for policymakers.

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3. Angel, 11 years old, selects several dresses in a boutique shop and informs the manager that she wants dresses delivered to her house.
Her father refuses to pay because there are a lot of dresses in her wardrobe.
Discuss whether the boutique shop owner can recover the amount of those dresses. (40 marks)

Answers

The father's refusal to pay for the dresses is not relevant because Angel has made the contract with the shop owner, and the payment should be made by her. However, if the dresses were purchased on credit, the owner could go after the father to recover the payment since he is an adult.

The boutique shop owner can recover the amount of those dresses bought by Angel as she is of 11 years old which means she is not an adult and thus not bound by contract terms as an adult can do. But the question is not sufficient enough to determine the rightful owner of the several dresses bought by Angel.What is a boutique shop?A boutique shop is a small retail store that sells unique items or items that are specialized in one category. Boutique shops focus on delivering the highest quality products and services to its customers, which is often why they are more expensive than your regular retail store. The boutique shop owner has the right to recover the amount of those dresses purchased by Angel because she is not an adult and thus is not legally bound by the contract terms as an adult can do.Angel is too young to be legally bound by any contract terms. In this case, Angel is only 11 years old. A person under 18 years of age is considered a minor and can enter into contracts, but the law says that the minor has the right to disaffirm or void the contract at any time before they reach the age of 18.The father's refusal to pay for the dresses is not relevant because Angel has made the contract with the shop owner, and the payment should be made by her. However, if the dresses were purchased on credit, the owner could go after the father to recover the payment since he is an adult.

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Betty contracted with Roger the Dodger Home Decorating Pty Ltd to redesign the interiors of her whole

house and complete the job in 3 months for $ 100,000. The job was completed on time, but about 25 % of it

was not finished properly with quite a few faults and it would cost another $ 20,000 to finish it off properly.

Betty refuses to pay anything to Rodger the Dodger who is demanding payment because he says he

completed the job on time.

Discuss the legal situation for both parties with reference to any relevant cases ( Corporation Act 2001 and please Use ILAC format)

Answers

Betty may have a valid claim to refuse payment for the unfinished and faulty portions of the job due to Roger the Dodger's failure to meet contractual obligations.

Issue: The main issue in this situation is the quality of the work performed by Roger the Dodger Home Decorating Pty Ltd. While the job was completed on time, there is a significant portion of the work that was not finished properly and contains multiple faults. Betty, the client, is refusing to pay the additional $20,000 that Roger the Dodger is demanding, arguing that the work needs to be completed properly.

Law: Under the Corporation Act 2001, a contract for services should be performed with due care and skill. If the work is not done with reasonable care and skill, the client may have a valid claim against the service provider.

Application: In this case, although the job was completed on time, 25% of it was not finished properly with multiple faults. This indicates that Roger the Dodger may have failed to fulfill the contract obligations by not providing services of reasonable quality. Betty, as the client, has the right to expect the work to be done properly.

Conclusion: Betty may have grounds to refuse payment for the unfinished and faulty portions of the job. She can argue that Roger the Dodger breached the contract by not completing the work with due care and skill. Betty may be entitled to seek remedies such as having the faults rectified or receiving compensation for the cost of finishing the job properly. Relevant case law and the specific terms and conditions of the contract may further influence the outcome of the legal situation.

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The Utah Mining Corporation is set to open a gold mine near Provo, Utah. According to the treasurer, Monty Goldstein, "This is a golden opportunity." The mine will cost $4,100,000 to open and will have an economic life of 11 years. It will generate a cash inflow of $515,000 at the end of the first year, and the cash inflows are projected to grow at 8 percent per year for the next 10 years. After 11 years, the mine will be abandoned. Abandonment costs will be $570,000 at the end of Year 11. a. What is the IRR for the gold mine? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) IRR 10.09 %

Answers

The IRR for the gold mine is 10.09% (rounded to 2 decimal places).

The Internal Rate of Return (IRR) is the discount rate at which the net present value (NPV) of cash inflows and outflows from a project is equal to zero. To calculate the IRR for the gold mine, we need to determine the discount rate at which the present value of cash inflows equals the present value of cash outflows.

The cash inflows for the gold mine are as follows:

Year 1: $515,000

Years 2-10: Growing at 8% per year

Year 11: $570,000 (including abandonment costs)

The initial investment is $4,100,000 to open the mine.

To calculate the IRR, we can use trial and error or financial software. Using the given values, the IRR for the gold mine is approximately 10.09%.

Therefore, the IRR for the gold mine is 10.09% (rounded to 2 decimal places).

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a. Compute the yield to maturity on a two-year discount bond with the face value of $10,000. The price of the bond is $8,000.
b. Christina bought the two-year discount bond described above. The interest rate changed to 10% within an hour of purchasing the bond. Compute the return on the bond if she sells it.

Answers

(a) To compute the yield to maturity on a two-year discount bond, we need to find the discount rate that equates the present value of the bond's cash flows to its current price. In this case, the bond has a face value of $10,000 and a price of $8,000. By solving this equation, we can determine the yield to maturity, which represents the average annual return an investor would earn if they held the bond until maturity.

(b) If the interest rate changes to 10% after Christina purchases the bond, the bond's market price will be affected. To compute the return on the bond if she sells it, we need to calculate the new price of the bond at the 10% interest rate and compare it to the purchase price. The return on the bond is then determined by the difference between the selling price and the purchase price, relative to the purchase price.

(a) To compute the yield to maturity on a two-year discount bond, we need to solve the following equation:

Price = Sum of Present Value of Cash Flows / (1 + Yield)^1 + Sum of Present Value of Cash Flows / (1 + Yield)^2 + ... + Sum of Present Value of Cash Flows / (1 + Yield)^n

In this case, the bond has a face value of $10,000 and a price of $8,000. Since it is a discount bond, there are no coupon payments, and the only cash flow occurs at maturity. Therefore, the equation simplifies to:

$8,000 = $10,000 / (1 + Yield)^2

Solving for Yield gives us the yield to maturity.

(b) If the interest rate changes to 10% after Christina purchases the bond, the new price of the bond will be affected. To calculate the new price, we discount the face value of $10,000 by the new interest rate of 10% for the remaining two years. The new price can be calculated as:

New Price = $10,000 / (1 + 0.10)^2

The return on the bond is then determined by subtracting the purchase price of $8,000 from the new selling price and dividing it by the purchase price:

Return = (New Price - Purchase Price) / Purchase Price

This represents the percentage return that Christina would earn if she sells the bond after the interest rate change.

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Think about a recent difficult conversation you had, one that occurred in the workplace, a retail establishment, or with an individual, Identify on example that did not go as best as it could have. Answer the following three questions:
1. Briefly describe the conversation in one paragraph.
Evaluate your and the other persons behavior in finding common ground, disagreeing diplomatically, and striving to reach consensus.
Describe 2-3 things you would do differently on approaching this conversation if you were to have the conversation again. Explain the rationale for the different approach, citing information from our textbook as the reasons why.

Answers

I would use empathy to put myself in the team member's shoes and try to understand the challenges he faced. This approach is backed by the textbook's assertion that empathy is a critical skill for building effective relationships in the workplace.

A difficult conversation occurred at the workplace when a team member continuously failed to submit his reports on time. His tardiness created delays in the progress of the project, causing the team to fall behind schedule. In addition, his work had to be constantly reviewed, further hindering the team's progress.

The team member was defensive and blamed the project manager for not giving him enough time to complete the reports. In contrast, the project manager was authoritative, blaming the team member for his tardiness and lack of accountability. Both parties did not find common ground initially, but the project manager eventually calmed the team member down and reached a consensus on how to move forward with the project.

In approaching the conversation differently, it is important to focus on active listening, empathy, and understanding. I would take a collaborative approach, involving the team member in the problem-solving process. This approach is backed by the textbook's assertion that collaboration fosters a positive work environment and enhances problem-solving skills. Additionally, I would practice active listening, seeking to understand the team member's perspective. This is backed by the textbook's suggestion that active listening helps to build trust and respect between team members.

Finally, I would use empathy to put myself in the team member's shoes and try to understand the challenges he faced. This approach is backed by the textbook's assertion that empathy is a critical skill for building effective relationships in the workplace.

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3.
On February 28, 2018, payment of a deposit of $5,000 for a promotional event that will take place in June 2018. Do the journal entry
Entry:

Answers

Date: February 28, 2018

Account Debit Credit

Promotional Event Deposit $5,000

Cash $5,000

Explanation:
The journal entry records the payment of a deposit for a promotional event. The account "Promotional Event Deposit" is debited to increase its balance since the deposit is an asset and represents an amount owed by the event organizer. The account "Cash" is credited to decrease its balance because cash is being paid out.

Please note that this is a general example of a journal entry and may not reflect the specific accounts or account names used in your organization's chart of accounts. It's always recommended to consult with an accounting professional or refer to your company's accounting policies for accurate and specific journal entries.

A promotional event in June 2018 received a $5,000 deposit on February 28, 2018. Journal entry:

28 February 2018.

Prepaid expenses $5,000 debit.

Cash: $5,000

The debt to the Prepaid Expenses account represents the promotional event deposit's prepaid asset increase. Prepaid expenses are costs that have not yet been incurred. Since the event will happen later, the deposit represents a prepaid expense.

As payments are made, the Cash account decreases. The company's available funds are in cash.

By registering this transaction, the corporation increases the prepaid asset and decreases cash. Over the course of the June 2018 event, prepaid expenses will be recognized as incurred expenses.

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About Engineering Economy
A farmer has 8ha of agricultural land, the farmer will plant the land with rice and corn.
From 1 ha of rice plants can be harvested 3 tons of rice, while from 1 ha of corn plants can be harvested 4 tons of corn.
This farmer wants to get a yield of not less than 30 tons. If the cost of planting 1 ha of rice plants is 500 thousand and the cost of planting 1 ha of corn is 600 thousand,
Question :
then what is the minimum cost that must be paid by the farmer?

Answers

The minimum cost that must be paid by the farmer is 4.8 million.

To calculate the minimum cost, we need to determine the optimal allocation of land between rice and corn to achieve a yield of at least 30 tons.

Let's assume x represents the area (in hectares) allocated to rice plants and (8-x) represents the area allocated to corn plants. The total yield can be expressed as 3x (tons of rice) + 4(8-x) (tons of corn).

To meet the condition of a minimum yield of 30 tons, we can set up the following equation:

3x + 4(8-x) ≥ 30

Simplifying the equation:

3x + 32 - 4x ≥ 30

-x ≥ -2

x ≤ 2

Since x represents the area allocated to rice plants, the maximum value for x is 2 hectares.

To minimize the cost, the farmer should allocate 2 hectares to rice and (8-2) = 6 hectares to corn.

The total cost is calculated as follows:

Cost of rice plantation = 2 hectares x 500 thousand = 1 million

Cost of corn plantation = 6 hectares x 600 thousand = 3.6 million

Therefore, the minimum cost that must be paid by the farmer is 1 million + 3.6 million = 4.8 million.

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Nigel Corp. had six different operating segments reporting the following operating profit and loss figures:

Segment Profit or
(Loss)
A $ 115,000
B (196,500 )
C 1,317,000
D (618,000 )
E (127,000 )
F (141,000 )
Which one of the following statements is true?

rev: 07_21_2020_QC_CS-220730

Multiple Choice

Segment A is a reportable segment based on this test.

Segment B is not a reportable segment based on this test.

Segment E is a reportable segment based on this test.

Segment C is not a reportable segment based on this test.

Segment D is a reportable segment based on this test.

Answers

Segment C does not qualify as a reportable segment based on this test. Segment C is not a reportable segment based on this test.

Answer:Segment C is not a reportable segment based on this test. Explanation:According to the Accounting Standards Codification (ASC), a reportable segment should meet one of the following quantitative criteria: its revenue from external customers should be at least 10% of the combined revenue of all operating segments; the absolute amount of its profit or loss should be at least 10% of the greater, in absolute amount, of the combined profit of all operating segments or the combined loss of all operating segments that incurred a loss; its assets should be at least 10% of the combined assets of all operating segments.Operating segments A and E do not qualify because their respective profits or losses are not at least 10% of the greater of all combined profit or combined loss of all operating segments. Therefore, Segment A and Segment E do not meet the 10% test and are not reportable.Operating Segment B has a loss that is more than any of the profits of the other segments combined, and hence Segment B is reportable. Operating Segment F, although having a large loss, cannot qualify as a reportable segment because it is less than 10% of the greater of all combined profit or combined loss of all operating segments.Segment C has revenue greater than the 10% threshold. However, it does not meet the profitability criterion, as its profit is not at least 10% of the greater of all combined profit or combined loss of all operating segments, since the operating profit of Segment C is less than 10% of the total operating profit of the company. Therefore, Segment C does not qualify as a reportable segment based on this test.Operating Segment D has a loss that is greater than 10% of the greatest of the combined profit of all operating segments or the combined loss of all operating segments that incurred a loss, hence Segment D is reportable.So, the correct answer is: Segment C is not a reportable segment based on this test.

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Why are large companies such as AmerisourceBergen and Diebold good candidates for business process management?

Answers

Large companies such as AmerisourceBergen and Diebold are good candidates for business process management because of the following reasons: Business Process Management (BPM) can streamline the complex and multi-faceted process of business activities and improve productivity, performance, and flexibility.

BPM can help large companies like Amerisource Bergen and Diebold by identifying the gaps in their current business process and filling those gaps through technology, software, or automated solutions. Here are some reasons why large companies need business process management: Better Compliance - Large companies have to deal with numerous regulations that change frequently, and it's challenging to keep up with them.

BPM can help ensure that all the processes and activities comply with these regulations. Improved Efficiency - Large companies have several processes, and it's crucial to optimize these processes to make the most of the available resources. BPM can help to streamline these processes to enhance efficiency and cut down on operational costs. Better Customer Experience - Large companies have to deal with thousands of customers daily. BPM can help in providing better customer experience by ensuring that all the processes are efficient, quick, and hassle-free. BPM can help in identifying potential issues before they occur, resulting in better decision making and enhanced performance. Thus, large companies such as AmerisourceBergen and Diebold are good candidates for business process management.

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Alex's utility function is as follows: U(C, L) = C¹/2¹/². [This implies that the marginal utility of consumption is MUC = C-1/2 ¹/² and the marginal utility of leisure is MU₁ = ¹/²-1/2] Alex can work at a wage of $18.2 per hour. She has 400 hours per month to allocate between work and leisure, and she has no other sources of income (other than work). How many hours will Alex choose to work? (Use up to two decimal points in all of your answers below.) Answer: The government introduces an assistance program that provides every individual with a payment of $873, regardless of whether they are working or how much they are earning. How will the introduction of this program affect Alex's labour market choices? Specifically, how many hours will Alex now choose to work after the introduction of the program? Answer: Illustrate Alex's choices before and after the introduction of the government payment scheme in one carefully labelled graph. Maximum file size: 100MB, maximum number of files: 1 = D ↓ Files

Answers

To determine the number of hours Alex will choose to work, we need to compare the marginal utility of leisure (MU₁) with the opportunity cost of leisure, which is the wage rate ($18.2 per hour).

Given Alex's utility function, MU₁ = ¹/² - 1/2. The marginal utility of consumption (MUC) is C-1/2 ¹/². To find the optimal number of hours Alex will work, we set MU₁ equal to the wage rate: ¹/² - 1/2 = $18.2 Solving this equation, we can determine the number of hours Alex will choose to work. Now, let's consider the effect of the government assistance program that provides every individual with a payment of $873, regardless of their work status or earnings. This program will affect Alex's labor market choices by introducing an additional income that does not depend on her work hours or earnings. With the introduction of this program, Alex's budget constraint will shift. She will now have an additional $873 of income, which will increase her total budget. This extra income will influence her trade-off between leisure and work. To determine how many hours Alex will choose to work after the introduction of the program, we need to find the new optimal point where the marginal utility of leisure equals the opportunity cost of leisure, considering the increased income. By setting MU₁ equal to the wage rate plus the additional income ($18.2 + $873), we can find the new number of hours Alex will choose to work. To illustrate Alex's choices before and after the introduction of the government payment scheme, we can create a graph with leisure hours on the horizontal axis and utility on the vertical axis. We will have two budget constraints: one before the program and one after the program. The optimal points of leisure and utility will be the intersections of the budget constraints with the indifference curve determined by Alex's utility function.

Please note that since we cannot directly interact with files in this text-based interface, I am unable to provide you with a graph. However, you can plot the graph on your own by following the instructions mentioned above.

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The key distinction between the views of Thomas Malthus and Esther Boserup on the relation between population growth and technological innovation is: O Malthus and Boserup both regard population growth as exogenous in driving innovation, but Boserup emphasizes the "passion between the sexes", while Malthus emphasizes human ingenuity. O Malthus and Boserup both regard population growth as exogenous in driving innovation, but Malthus emphasizes the "passion between the sexes", while Boserup emphasizes human ingenuity. O Malthus regards population growth as exogenously driving technological innovation, while Boserup regards population growth as an endogenous response to innovation. O Boserup regards population growth as exogenously driving technological innovation, while Malthus regards population growth as an endogenous response to innovation. Question (3) Jane is a 'textbook' speculator, in the sense that her position in the market is based on a mixture of hard research and gut intuition rather than insider information or other forms of cheating. Jane decides to short sell an oil security for a price of $100,000. When it comes time to close out her futures position, the oil price has dropped by 20%. Based on this information, it would be reasonable to conclude that: O Jane's transaction has contributed to increased oil price volatility and she incurred a loss. O Jane's transaction has contributed to increased oil price volatility and she made a profit. O Jane's transaction has contributed to decreased oil price volatility and she incurred a loss. O Jane's transaction has contributed to decreased oil price volatility and she made a profit. O It is impossible to tell from the given information.

Answers

The key distinction between the views of Thomas Malthus and Esther Boserup on the relation between population growth and technological innovation is:

Malthus regards population growth as exogenously driving technological innovation, while Boserup regards population growth as an endogenous response to innovation.As for question (3), based on the information provided, it is reasonable toconclude that: Jane's transaction has contributed to increased oil price volatility and she made a profit.By short selling an oil security and the oil price subsequently dropping by 20%, Jane would have profited from the transaction, and her involvement in the market could have contributed to increased price volatility.

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Question 16 0 out of 0. Folkways manufacturers dolls with traditional dress from different areas of the Middle East. Since the company was founded 5 years ago, it has sourced the dolls' clothing from

Answers

Folkways, a doll manufacturer specializing in traditional dress from different areas of the Middle East, has sourced the dolls' clothing from various suppliers since its establishment 5 years ago. Having multiple suppliers may mitigate the risk of relying on a single source and help ensure a consistent supply of clothing for the dolls.

Folkways has been in operation for 5 years and during this time, it has procured the clothing for its dolls from multiple suppliers. The choice to source from different suppliers could be driven by various factors such as cost, availability, quality, or the desire to offer a diverse range of doll clothing representing different regions of the Middle East. By obtaining clothing from different suppliers, Folkways can ensure that the dolls accurately reflect the traditional dress of specific areas.

Sourcing from multiple suppliers may also provide flexibility and the ability to adapt to changing customer preferences or market conditions. It allows the company to access a wider range of clothing styles, materials, or craftsmanship techniques, enhancing the authenticity and appeal of their dolls. Additionally, having multiple suppliers may mitigate the risk of relying on a single source and help ensure a consistent supply of clothing for the dolls.

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A variety of statistical studies based on the U.S. experience suggests that when government borrowing increases by $1, private saving rises on average by about 10 cents. O 30 cents. o 50 cents. O 70 cents.

Answers

A variety of statistical studies based on the U.S. experience suggests that when government borrowing increases by $1, private saving rises on average by about 30 cents. The correct option is 30 cents.

This is known as Ricardian equivalence, a theory that suggests that when a government decides to borrow money, it crowds out private investors, reducing private investment and savings. According to this theory, the government's borrowing is offset by an increase in private savings. The concept is named after the British economist David Ricardo, who first proposed it in the early 19th century.

Ricardian equivalence implies that government borrowing and private saving are linked and that one affects the other. The theory assumes that individuals have a perfect understanding of the implications of current government policy for their future tax liabilities. It also assumes that individuals are forward-looking and rational when they make consumption and saving decisions. 30 cents is the correct option.

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Find the Fourier sine series of h(z): h(x) = - bx (t) sin (nkx/4).Please choose the correct option: does your answer only include odd values of k, even values k, or all values of k? bk(t) (16/(k^2pi^2)){(-1)^{(k-1)/2))Which values of k should be included in this summation? A. Only the even values B. Only the odd values C. All values (b) Write down the solution to the boundary value problem x = 4 2u t x2on the interval [0, 4] with the boundary conditions u(0, t) = u(4, t) = 0 for all t subject to the initial conditions u(a,0) = h(a). As before, please choose the correct option: does your answer only include odd values of k, even values of k, or all values of ? [infinity]u(x, t) = k-1 Which values of k should be included in this summation? A. Only the even values B. Only the odd values C. All values 4 br(t) sinPrevious question to maintain the same service level after this transition, how many units (transformers) would the oem need to hold (or pool) in the fedex warehouse? (display your answer as a whole number.) Let (G,+) and (G2, +) be two subgroups of (R, +) so that Z+G G. If o: G G is a group isomorphism with o(1) = 1, show that o(n): = n for all n Z+. Hint: consider using mathematical induction. Draper and Becker decide to organize a partnership. Draper invests $37,500 cash, and Becker contributes $5,200 and equipment having a book value of $8,100 and a fair value of $16,000. Prepare the entr Consider the following payoff matrix, which illustrates the profits in an advertising game between two firms, Firm 1 and Firm 2. Which of the following describes what happens in the Nash equilibrium of this one-shot game? Firm 2 Don't Advertise Advertise Advertise Firm 1 Don't Advertise $20k; $20k $5k; $45k $45k; $5k $35k; $35k O a. Firms realize that collective profits will be highest if neither advertises, so in the Nash equilibrium they coordinate and do not advertise. O b. While collective firm profits would be higher if neither firm advertised, in the Nash equilibrium both firms choose to advertise, resulting in the lowest possible collective firm profits. O c. In the Nash equilibrium one of the firms agrees not to advertise, so the other firm takes advantage of this to advertise and collect its highest possible individual profits. O d. While collective profits would be higher if both firms advertised, in the Nash equilibrium neither firm advertises, resulting in the lowest possible collective firm profits. Which of the following equations represents national saving in a closed economy?Y - I - G - NXY - C - GY - I - CG + C - Y 2) Draw contour maps for the functions f(x, y) = 4x +9y, and g(x, y) = 9x + 4y. What shape are these surfaces? 50. Ellen is 55 years old and married to 48-year-old Gary. They have one dependent daughter, Angie, whois 17 years old. Their itemized deductions include $15,000 total in taxes, $8,000 in mortgage interest,and $3,000 to charity. Their AGI for 2021 is $95,000. What is their taxable income on their 2021 return?a) $69,000b) $74,000c) $69,900d) $68,60051. Peter, age 52, is using the filing status Married Filing Separately. His wife itemizes deductions. Petersadjusted gross income (AGI) for 2021 is $45,950. Peter paid $500 to charity, $8,000 total in real estateand income taxes, and had $4,500 of medical expenses. What would be his taxable income on his2021 federal return?a) $33,400b) $36,396c) $40,450d) $39,39652. Jacks client told him that he had additional income for a side job but did not report the income. Jackchose not to report it since he didnt have any documentation or proof of the income. As a result, theclient paid less tax. If the IRS audits the client, they can assess what penalty to Jack as a preparer?a) $50 per return up to $27,000 per yearb) $5,000 per return up to $27,000 per yearc) $1,000 per returnd) The greater of $5,000 or 75% of the income derived per return what force continues to feive blood through the vasculature during ventricular diastole determine the position sb of the image if an object is placed in air on the axis of the rod 3.00 cm from the left end of the rod. howmuch interest will be earned on $10000 in 5 months if the annualsimple interest rate is 2.0% "#16Question 16 Solve the equation. 45 - 3x = 1 256 O 1) 764 O {3} O {128) (-3) ( what best explains the recent expansion of ultra processed foods The following data extracted from the books of a company during the years 2008 and 2009 Data 2008 2009 Creditors 110000 170000 Cash 80000 60000 Retained earnings 107000 195000 Payment papers 100000 65000 Indebted 85000 130000 Net fixed assets 425000 500000 The capital 300000 310000 Stock 145000 200000 Fixed obligations 118000 150000 required: preparing the lists of the financial position for the years 2008,2009 and conducting horizontal analysis Which of the following requires that a table must not have any repeating values? (in Access)normal formsfirst normal formsecond normal formthird normal form Find maximum of the following function u(x, y) = (x1) + y analytically using the recipe studied in class. max u(x, y) {x,y) s.t. 20 y20 x+y 5