Thornton Corporation incurs the following annual fixed costs: Item Depreciation Officers' salaries Long-term lease Property taxes Cost $ 61,000 180,000 95,000 10,000 Required Determine the total fixed cost per unit of production, assuming that Thornton produces 6,000, 6,500, or 7,000 units. (Round your answers to 2 decimal places.) 6,000 6,500 7,000 Units Produced Fixed cost per unit

Answers

Answer 1

The fixed cost per unit of production is $57.67 when 6,000 units are produced, $53.23 when 6,500 units are produced, and $49.43 when 7,000 units are produced.

Fixed costs refer to the type of costs that don't vary according to production levels. On the other hand, variable costs change with the production volume. Fixed costs for a company would be costs such as property rent, property taxes, and insurance that would remain constant over a production period.

Thornton Corporation Inc. incurs the following annual fixed costs:

Depreciation - $ 61,000

Officers' salaries - $ 180,000

Long-term lease - $ 95,000

Property taxes - $ 10,000

Fixed cost per unit can be calculated as the total fixed cost divided by the number of units produced.

To determine the total fixed cost per unit of production, assuming that Thornton produces 6,000, 6,500, or 7,000 units, we need to divide the total fixed cost by the respective number of units produced.

Total fixed cost = Depreciation + Officers' salaries + Long-term lease + Property taxes= $ 61,000 + $ 180,000 + $ 95,000 + $ 10,000= $ 346,000

Fixed cost per unit when 6,000 units are produced = Total fixed cost / Number of units produced= $ 346,000 / 6,000= $ 57.67

Fixed cost per unit when 6,500 units are produced = Total fixed cost / Number of units produced= $ 346,000 / 6,500= $ 53.23

Fixed cost per unit when 7,000 units are produced = Total fixed cost / Number of units produced= $ 346,000 / 7,000= $ 49.43

Thus, the fixed cost per unit of production is $57.67 when 6,000 units are produced, $53.23 when 6,500 units are produced, and $49.43 when 7,000 units are produced.

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Related Questions

Question 1 [15 marks]: Explain three possibilities when 100% of the meals and entertainment are allowed to be deducted from accounting income. [Not less than 50 words: Not less than 1 reference]
Explain two circumstances when club membership dues and recreational facilities fees are not allowed to be deducted for tax purposes.
[Not less than 50 words: Not less than 1 reference]
Explain three circumstances when contingent expenses are not allowed to be deducted for tax purposes.
[Not less than 50 words: Not less than 1 reference]

Answers

Three possibilities when 100% of the meals and entertainment are allowed to be deducted from accounting income:

a. Meals and entertainment provided to employees for the convenience of the employer: When meals and entertainment are furnished on the employer's premises primarily for the convenience of the employer, they can be fully deductible as a business expense.

b. Meals and entertainment included in compensation: If meals and entertainment are provided as part of an employee's compensation package and are included in their taxable income, they can be fully deductible by the employer.

c. Expenses related to company events open to the public: Costs incurred for promotional events or seminars open to the public, where meals and entertainment are provided, can be fully deductible.

Two circumstances when club membership dues and recreational facilities fees are not allowed to be deducted for tax purposes:

a. Social or recreational purposes: If the club membership dues or recreational facilities fees are primarily for social or recreational purposes, they are generally not deductible for tax purposes.

b. Business-related benefits not incidental: If the membership or fees provide substantial business-related benefits, such as access to exclusive business contacts or opportunities, they may not be deductible as they are considered personal or capital expenditures.

Three circumstances when contingent expenses are not allowed to be deducted for tax purposes:

a. Speculative or potential expenses: Contingent expenses that are based on speculative or potential events, where the liability is uncertain, are generally not deductible until the contingency is resolved.

b. Prohibited by tax law: Certain contingent expenses may be specifically prohibited from deduction by tax laws or regulations. For example, penalties and fines imposed by government authorities are generally not deductible.

c. Non-business or personal contingencies: Contingent expenses related to non-business or personal contingencies are not deductible for tax purposes. Tax deductions are typically limited to expenses directly related to the operation of a trade or business.

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You are assigned for a new job as a fitness club owner, 1. Cite
the major advantages and disadvantages of secondary data.
2. what kinds of secondary data would you use to learn more
about your industr

Answers

Advantages and Disadvantages of Secondary Data:

1. Advantages:

  - Cost-Effective: Secondary data is often readily available and less expensive to access compared to primary data, which requires data collection efforts.

  - Time-Saving: Secondary data saves time as it has already been collected and compiled by other sources, allowing for quicker analysis and decision-making.

  - Large Sample Size: Secondary data sources often provide a larger sample size, enabling broader insights and more robust statistical analysis.

  - Historical Analysis: Secondary data can provide historical trends and patterns, allowing for comparisons and long-term analysis.

2. Disadvantages:

  - Lack of Specificity: Secondary data may not address the specific research objectives or have the level of detail required for a fitness club owner's needs.

  - Reliability and Validity Concerns: The accuracy and reliability of secondary data can vary, depending on the source. It is important to critically evaluate the credibility and methodology of the data provider.

  - Limited Control: As secondary data is collected by others, the fitness club owner has no control over the data collection process, potentially leading to data limitations or biases.

  - Outdated or Incomplete Information: Secondary data may not reflect the most current industry trends or may lack comprehensive coverage, limiting its relevance and usefulness.

Types of Secondary Data for Learning About the Fitness Club Industry:

As a fitness club owner, several types of secondary data can provide valuable insights into the industry:

1. Market Reports: Industry-specific market reports, published by market research firms or industry associations, provide comprehensive data on market size, growth trends, consumer behavior, and competitor analysis.

2. Government Publications: Government agencies often publish data related to the health and fitness industry, including statistics on participation rates, facility utilization, and regulations.

3. Trade Journals and Magazines: Publications catering to the fitness industry offer industry news, expert insights, case studies, and emerging trends relevant to fitness club owners.

4. Online Databases: Online databases such as IBISWorld, Statista, or industry-specific databases offer a wide range of industry data, including financials, market trends, and consumer demographics.

5. Social Media and Online Forums: Monitoring discussions, reviews, and social media platforms relevant to fitness clubs can provide insights into customer preferences, feedback, and emerging trends.

6. Academic Research: Academic studies and research papers can offer in-depth analysis on various aspects of the fitness industry, including customer behavior, marketing strategies, and operational best practices.

By leveraging these sources of secondary data, a fitness club owner can gain a comprehensive understanding of the industry landscape, customer preferences, competitor analysis, and emerging trends.

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A corporation earns $18 per share before tax, has a 30% corporate tax rate, and a dividend payout ratio of 50%. How much will a shareholder with a 20% marginal tax rate receive? 2. An S corporation earns $13073 before tax and distributes 80% to its owner, retaining the remainder in the firm. How much tax will the owner with a 30% tax rate pay?

Answers

To calculate the amount a shareholder will receive after taxes.the owner with a 30% tax rate will pay $2,353.14 in taxes on the income distributed from the S corporation.

First, let's calculate the amount of tax paid by the corporation:

Taxable income = Earnings per share * (1 - Corporate tax rate)

Taxable income = $18 * (1 - 0.30)

Taxable income = $12.60

Next, let's calculate the dividend amount:

Dividend = Taxable income * Dividend payout ratio

Dividend = $12.60 * 0.50

Dividend = $6.30

Finally, let's calculate the amount the shareholder will receive after taxes:

Shareholder amount = Dividend * (1 - Shareholder's marginal tax rate)

Shareholder amount = $6.30 * (1 - 0.20)

Shareholder amount = $6.30 * 0.80

Shareholder amount = $5.04

Therefore, a shareholder with a 20% marginal tax rate will receive $5.04.

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Russia and Ukraine are at war, the social and economic environment is suffering severely. Neighbouring countries and trading partners are impacted by these new developments identify the impact on South Africa supply chains, due to this war.

Answers

South Africa's supply chains are impacted by the war between Russia and Ukraine.

How does the war between Russia and Ukraine affect South Africa's supply chains?

The ongoing war between Russia and Ukraine has significant implications for South Africa's supply chains. As an interconnected global economy, disruptions in one region can have far-reaching consequences for trading partners around the world. In this case, the conflict between Russia and Ukraine has led to heightened geopolitical tensions, increased trade barriers, and a decrease in overall global trade confidence.

One of the primary ways in which South Africa's supply chains are affected is through the disruption of key trade routes. The conflict has resulted in heightened security measures and potential blockades in certain regions, leading to delays and disruptions in the transportation of goods. South Africa relies heavily on maritime trade, with major ports acting as vital gateways for imports and exports. Any disruption in these trade routes can significantly impact the flow of goods and increase costs for businesses.

Moreover, the war has created an atmosphere of uncertainty and instability in global markets. Investors and businesses are more cautious when engaging in international trade, which can lead to a decrease in demand for South African goods and services. This decline in demand can have a direct impact on local industries, affecting production levels, job opportunities, and overall economic growth.

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The foreign bank representative office_ A) obtains local market information B) trades Eurodollars C) None of them D) accepts deposits and makes loans E) issues letters of credit

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The foreign bank representative office typically obtains local market information, but it does not trade Eurodollars, accept deposits and make loans, issue letters of credit, or perform other banking functions.

Its primary purpose is to serve as a liaison between the foreign bank and local businesses and institutions, providing information about the local economy and regulatory environment, and facilitating communication and transactions between the two parties.

A foreign bank representative office is an office established by a foreign bank in a foreign country for limited purposes such as promoting the bank's services, conducting market research, and building relationships with local businesses and institutions. However, it does not engage in full banking activities such as accepting deposits, making loans, trading Eurodollars, or issuing letters of credit. Its primary function is to provide a presence for the foreign bank in the foreign market and facilitate communication and networking.

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Events Subsequent to Acquisition The following expenditures were among those incurred by Jensen Corporation during the year ended December 31, 2016: Replacement of tiles on portion of roof that had been leaking $4,000 Overhaul of machinery that is expected to extend its useful life for another 2 years 6,000 How much should be charged to repairs and maintenance in 2016? O $10,000 $4,000 $6,000 $0

Answers

In 2016, Jensen Corporation incurred two expenditures: $4,000 for the replacement of leaking roof tiles and $6,000 for the overhaul of machinery.

The amount that should be charged to repairs and maintenance in 2016 will be explained below. The expenditure for the replacement of leaking roof tiles should be charged to repairs and maintenance in 2016. This is because it relates to fixing a specific issue with the roof and falls under the category of routine repairs and maintenance expenses. Therefore, the amount of $4,000 should be charged to repairs and maintenance.

On the other hand, the expenditure for the overhaul of machinery should not be charged to repairs and maintenance in 2016. The overhaul extends the useful life of the machinery for another 2 years, indicating that it is a capital expenditure that enhances the machinery's value and extends its economic benefits beyond the current year. Instead, this expenditure should be capitalized and recorded as an addition to the machinery's cost, and then depreciated over its useful life.

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Why do people disagree on what is morally appropriate behaviour?

Answers

People disagree on what is morally appropriate behavior due to a variety of factors, including cultural differences, personal beliefs, values, and individual perspectives.

Here are some key reasons for moral disagreements:

Cultural and Relativistic Differences: Morality is heavily influenced by cultural norms, traditions, and societal values. Different cultures have varying ethical frameworks and standards, leading to contrasting views on what is considered morally acceptable. Cultural relativism acknowledges that moral standards are relative to a particular culture or society, further contributing to moral diversity and disagreements.

Personal Beliefs and Values: Individuals hold diverse personal beliefs and values shaped by their upbringing, religious or philosophical views, education, and personal experiences. These different belief systems can lead to conflicting moral judgments. For example, someone with a strong emphasis on individual rights might disagree with another person who prioritizes communal responsibilities.

Ethical Theories and Philosophical Perspectives: Ethical theories, such as consequentialism, deontology, virtue ethics, and utilitarianism, offer distinct frameworks for evaluating moral choices. These theories often have different criteria for determining what is morally appropriate, leading to disagreements on specific moral issues.

Different Weights on Moral Principles: Even if people agree on general moral principles, they may assign different weights or priorities to those principles when confronted with specific moral dilemmas. For instance, one person may prioritize individual autonomy, while another may prioritize societal welfare, resulting in differing judgments about the appropriate course of action.

Lack of Objective Moral Foundation: The absence of a universally agreed-upon objective moral foundation contributes to moral disagreements. Moral relativism and subjectivism assert that moral judgments are subjective and can vary from person to person, making it challenging to establish a definitive standard of what is morally right or wrong.

Emotional and Intuitive Influences: Emotions and intuitions play a significant role in moral decision-making. Different emotional responses to moral issues, as well as variations in intuitive moral judgments, can lead to moral disagreements.

Limited Information and Cognitive Biases: People may have access to limited information or hold cognitive biases that influence their moral judgments. Confirmation bias, for example, can lead individuals to interpret information in a way that confirms their pre-existing beliefs, further perpetuating moral disagreements.

It is essential to engage in respectful and open dialogue when facing moral disagreements, as it allows for a deeper understanding of different perspectives and the potential for finding common ground or mutual respect, even if full agreement is not reached.

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Tobacco is shipped from North Carolina to a cigarette manufacturer in Cambodia once a year. The reorder point, without safety stock, is 200 kilos. The carrying cost is $20 per kilo per year, and the cost of a stockout is $70 per kilo per year. Given the following demand probabilities during the lead time, how much safety stock should be carried?
Demand During Lead Time(Kilos) Probability
0 ................... .....................................0.1
100 ......................................................0.1
200 ..................................................... 0.2
300 ................... ..................................0.4
400 ................... ..................................0.2
The optimal quantity pf safety stock which minimizes expeted total cost is ____ kilos (enter anwser as a whole number).

Answers

For Safety Stock = 400 kilos:

Expected Total Cost = 8000 + 70 * Stockout Quantity

To determine the optimal quantity of safety stock, we need to calculate the expected total cost for different levels of safety stock. The formula for calculating the expected total cost is:

Expected Total Cost = (Carrying Cost per kilo per year * Safety Stock) + (Cost of Stockout per kilo per year * Stockout Quantity)

Let's calculate the expected total cost for different levels of safety stock:

For Safety Stock = 0 kilos:

Expected Total Cost = (20 * 0) + (70 * Stockout Quantity)

For Safety Stock = 100 kilos:

Expected Total Cost = (20 * 100) + (70 * Stockout Quantity)

For Safety Stock = 200 kilos:

Expected Total Cost = (20 * 200) + (70 * Stockout Quantity)

For Safety Stock = 300 kilos:

Expected Total Cost = (20 * 300) + (70 * Stockout Quantity)

For Safety Stock = 400 kilos:

Expected Total Cost = (20 * 400) + (70 * Stockout Quantity)

Now, we need to compare the expected total costs for different levels of safety stock and choose the one with the lowest cost.

For Safety Stock = 0 kilos:

Expected Total Cost = 70 * Stockout Quantity

For Safety Stock = 100 kilos:

Expected Total Cost = 2000 + 70 * Stockout Quantity

For Safety Stock = 200 kilos:

Expected Total Cost = 4000 + 70 * Stockout Quantity

For Safety Stock = 300 kilos:

Expected Total Cost = 6000 + 70 * Stockout Quantity

For Safety Stock = 400 kilos:

Expected Total Cost = 8000 + 70 * Stockout Quantity

Comparing these expected total costs, we choose the level of safety stock that minimizes the cost. By calculating the expected total costs for each safety stock level and comparing them, we can determine the optimal quantity of safety stock.

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Required information (The following information applies to the questions displayed below] The following information is available for ADT Company, which produces special-order security products and uses a job order costing system. Overhead is applied using a predetermined overhead rate of 55% of direct labor cost. Inventories Beginning of period $ 39,000 End of Period $ 49,000 Raw materials Work in process Finished goods 9,500 20,300 66,000 34,600 Cost Incurred for the period Raw materials purchases Factory payroll $ 174,000 200,000 Factory everhead (actual) Indirect materials used Indirect labor used Other overhead costs 8,000 46,000 115,000 1. Raw materials purchases for cash 2. Direct materials used 3. Indirect materials used. Prepare journal entries for the above transactions for the period.

Answers

Journal entry:

Factory Overhead $68,000

Raw Materials Inventory $68,000

Raw materials purchases for cash:

Journal entry:

Raw Materials Inventory $174,000

Cash $174,000

Direct materials used:

Direct materials are the raw materials that are directly used in the production process. The direct materials used during the period can be calculated as follows:

Direct materials used = Beginning raw materials inventory + Raw materials purchased - Ending raw materials inventory

Direct materials used = $9,500 + $174,000 - $10,000

Direct materials used = $173,500

Journal entry:

Work in Process Inventory $173,500

Raw Materials Inventory $173,500

Indirect materials used:

Indirect materials are the materials that are not directly used in the production process but are necessary for the production process. The indirect materials used during the period can be calculated as follows:

Indirect materials used = Actual factory overhead - Indirect labor cost - Other overhead costs

Indirect materials used = $115,000 - $46,000 - $1,000

Indirect materials used = $68,000

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Twilight Corp. desired to raise cash to fund its expansion by issuing long-term bonds. The corporation hired an investment banker to manage the issue (best efforts underwriting) and also hired the services of a lawyer, an audit firm, etc. On June 1, 2020, Twilight sold $ 500,000 in long-term bonds. The bonds will mature in 10 years and have a stated interest rate of 8%. Other bonds that Twilight has issued with identical terms are traded based on a market rate of 10%. The bonds pay interest semi-annually on May 31 and November 30. The bonds are to be accounted for using the effective-interest method. On June 1, 2022 Twilight decided to retire 20% of the bonds. At that time the bonds were selling at 98.
Instructions (Round all values to the nearest dollar)
a) Prepare the journal entry for the issuance of the bonds on June 1, 2020.
b) What was the interest expense related to these bonds that would be reported on Twilight’s calendar 2020 income statement?
c) Prepare all entries from after the issue of the bond until December 31, 2020.
d) Calculate the gain or loss on the partial retirement of the bonds on June 1, 2022.
e) Prepare the journal entries to record the partial retirement on June 1, 2022.

Answers

Journal entry for the issuance of bonds on June 1, 2020 will be as follows:ParticularsDebitCreditCash$ 500,000Discount on Bonds Payable$ 53,794Bonds Payable$ 553,794b) Interest expense related to these bonds that would be reported on Twilight’s calendar 2020 income statement:

Interest expense Effective interest rate is 9.487%, and the carrying value of bonds = $ 553,794 (Carrying value = Face value – Discount)$ 52,521 (round off to the nearest dollar)c) Entries from after the issue of the bond until December 31, 2020:ParticularsDebitCreditInterest Expense$ 52,521Discount on Bonds Payable$ 4,206Cash Interest Paid (500,000 × 8% × 6/12) = $20,000$ 20,000Discount on Bonds Payable Amortization (($ 500,000 – $ 20,000) × 9.487% × 6/12) = $ 22,315$ 22,315d)

Gain or loss on the partial retirement of bonds on June 1, 2022:Face value of bonds to be retired = 20% of $ 500,000 = $ 100,000Carrying value of bonds on June 1, 2022 = $ 494,843 (discount of $ 58,951 has been amortized)$ 8,157 gain is there on the partial retirement of bonds.e) Journal entries to record the partial retirement on June 1, 2022 will be as follows:ParticularsDebitCreditBonds Payable$ 100,000Discount on Bonds Payable$ 3,046Gain on Bond Retirement$ 8,157Cash$ 104,111I hope the explanation clears your doubts.

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If you were to do a research on the topic of determining the satisfaction of university students on May Festival activities,
a- how would you define target population?
b- would you take a census or a sample for your research?

Answers

If I were to do research on the satisfaction of university students on May Festival activities, the target population would be all the students who attend the university and participate in the May Festival activities. This includes both undergraduate and graduate students.



In terms of data collection, I would take a sample of the target population instead of conducting a census. A census would involve surveying every single student, which would be impractical and time-consuming. A sample, on the other hand, involves selecting a representative group of students to survey. This allows for a more manageable data collection process while still providing a reliable estimate of the satisfaction of the entire population.

To ensure the sample is representative, I would use a random sampling technique, such as stratified random sampling, to ensure that students from different departments, years, and genders are included in the sample. I would also aim for a sufficiently large sample size to ensure that the results are statistically significant and can be generalized to the target population.

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The owner of Firewood To Go is considering buying a hydraulic wood splitter which sells for $50,000. He figures it will cost an additional $100 per cord to purchase and split wood with this machine, while he can sell each cord of split wood for $125.
(PLEASESHOWWORK)
a) What would the potential profit be if he were to split 4,000 cords of wood with this machine?
b) How many cords of wood would he have to split with this machine to break even?
c) How many cords of wood would he have to split with this machine to make a profit of $30,000?
d) If, for this machine, design capacity is 50 cords per day, effective capacity is 40 cords per day, and actual output is anticipated to be 35 cords per day, what would be its utilization?
e) If, for this machine, design capacity is 50 cords per day, effective capacity is 40 cords per day, and actual output is expected to be 32 cords per day, what would be its efficiency?

Answers

a) To calculate the potential profit, we need to determine the total revenue and subtract the total cost. The revenue is the selling price per cord multiplied by the number of cords, and the cost is the additional cost per cord to purchase and split wood.

Revenue per cord = $125

Cost per cord = $100

Potential profit = (Revenue per cord - Cost per cord) * Number of cords

Given that the owner plans to split 4,000 cords of wood:

Potential profit = ($125 - $100) * 4,000

Potential profit = $25 * 4,000

Potential profit = $100,000

Therefore, the potential profit from splitting 4,000 cords of wood with the machine would be $100,000.

b) To determine the break-even point, we need to find the number of cords of wood that would result in zero profit. At the break-even point, the total revenue equals the total cost.

Revenue per cord = $125

Cost per cord = $100

Break-even point = Total cost / (Revenue per cord - Cost per cord)

Break-even point = $50,000 / ($125 - $100)

Break-even point = $50,000 / $25

Break-even point = 2,000 cords

Therefore, the owner would have to split 2,000 cords of wood with the machine to break even.

c) To calculate the number of cords required to make a profit of $30,000, we can use the same formula as in part (b).

Profit = (Revenue per cord - Cost per cord) * Number of cords

$30,000 = ($125 - $100) * Number of cords

Number of cords = $30,000 / ($125 - $100)

Number of cords = $30,000 / $25

Number of cords = 1,200 cords

Therefore, the owner would have to split 1,200 cords of wood with the machine to make a profit of $30,000.

d) Utilization is the ratio of actual output to the design capacity of the machine.

Utilization = (Actual output / Design capacity) * 100

Utilization = (35 cords / 50 cords) * 100

Utilization = 70%

The utilization of the machine is 70%.

e) Efficiency is the ratio of actual output to the effective capacity of the machine.

Efficiency = (Actual output / Effective capacity) * 100

Efficiency = (32 cords / 40 cords) * 100

Efficiency = 80%

The efficiency of the machine is 80%.

So, the answers are:

a) The potential profit from splitting 4,000 cords of wood is $100,000.

b) The owner would have to split 2,000 cords of wood to break even.

c) The owner would have to split 1,200 cords of wood to make a profit of $30,000.

d) The machine has a utilization of 70%.

e) The machine has an efficiency of 80%.

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Consider a market where supply and demand are given by QXs = -14 + PX and QXd = 82 - 2PX. Suppose the government imposes a price floor of $37, and agrees to purchase and discard any and all units consumers do not buy at the floor price of $37 per unit.
Instructions: Enter your responses rounded to the nearest penny (two decimal places).
a. Determine the cost to the government of buying firms’ unsold units.
$ ___________________
b. Compute the lost social welfare (deadweight loss) that stems from the $37 price floor.
$ _______________________

Answers

To determine the cost to the government of buying firms' unsold units, we need to find the number of units that consumers are willing to buy at the price floor of $37.

Step 1: Set the quantity demanded (QXd) equal to the quantity supplied (QXs) to find the equilibrium price:

QXd = QXs

82 - 2PX = -14 + PX

Step 2: Solve for the equilibrium price (PX):

82 + 14 = 3PX

96 = 3PX

PX = 32

So, the equilibrium price is $32.

Step 3: Determine the number of units demanded and supplied at the equilibrium price:

QXd = 82 - 2PX

QXd = 82 - 2(32)

QXd = 82 - 64

QXd = 18

QXs = -14 + PX

QXs = -14 + 32

QXs = 18

At the equilibrium price of $32, the quantity demanded and supplied is 18 units.

Step 4: Compare the equilibrium price and quantity to the price floor:

Price floor = $37

Since the price floor is higher than the equilibrium price, the quantity demanded on the price floor will be less than the quantity supplied.

Step 5: Calculate the cost to the government of buying firms' unsold units:

Cost to the government = (Quantity supplied - Quantity demanded) * Price floor

Cost to the government = (18 - 18) * $37

Cost to the government = 0 * $37

Cost to the government = $0

Therefore, the cost to the government of buying firms' unsold units is $0.

Now, let's calculate the lost social welfare (deadweight loss) that stems from the $37 price floor.

Step 1: Calculate the consumer surplus at the equilibrium price:

Consumer surplus = 0.5 * (Quantity demanded at the equilibrium price) * (Equilibrium price - Price floor)

Consumer surplus = 0.5 * 18 * ($32 - $37)

Consumer surplus = 0.5 * 18 * (-$5)

Consumer surplus = -45

Step 2: Calculate the producer surplus at the equilibrium price:

Producer surplus = 0.5 * (Quantity supplied at the equilibrium price) * (Price floor - Equilibrium price)

Producer surplus = 0.5 * 18 * ($37 - $32)

Producer surplus = 0.5 * 18 * $5

Producer surplus = $45

Step 3: Calculate the deadweight loss:

Deadweight loss = |Consumer surplus| + |Producer surplus|

Deadweight loss = |-45| + |45|

Deadweight loss = 45 + 45

Deadweight loss = $90

Therefore, the lost social welfare (deadweight loss) that stems from the $37 price floor is $90.

a. The cost to the government of buying firms’ unsold units. is $90. b. The lost social welfare (deadweight loss) that stems from the $37 price floor is $ 12.50.

a. To determine the cost to the government of buying firms' unsold units, we need to find the difference between the equilibrium quantity demanded and the quantity supplied at the price floor.

Equilibrium quantity demanded (Qd) can be found by setting the quantity demanded equation equal to the quantity supplied equation:

82 - 2PX = -14 + PX

Combining like terms:

3PX = 96

Solving for PX:

PX = 32

Substituting the price into the quantity supplied equation:

QXs = -14 + (32) = 18

The equilibrium quantity demanded at the price floor is 18.

Since the price floor is set at $37, and the quantity demanded at that price is 18, the cost to the government of buying firms' unsold units is:

Cost = (Price floor - Equilibrium price) × Quantity = (37 - 32) × 18 = $90.

b. To compute the lost social welfare (deadweight loss) that stems from the $37 price floor, we need to calculate the area of the triangle formed by the price floor, the equilibrium quantity demanded, and the quantity supplied.

The equilibrium quantity supplied at the price floor can be found by substituting the price floor into the quantity supplied equation:

QXs = -14 + (37) = 23

The lost social welfare is equal to half the base times the height of the triangle:

Lost Social Welfare = 0.5 × (Equilibrium quantity supplied - Equilibrium quantity demanded) × (Price floor - Equilibrium price) = 0.5 × (23 - 18) × (37 - 32) = $12.50.

Therefore, the lost social welfare (deadweight loss) that stems from the $37 price floor is $12.50.

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A conducted regression had stock price as the dependent variable and firm size was the independent variable. Only firm size was on a natural log scale. The beta coefficient of firm size was -14 and p =0.02.
Thus, every [ Select ] ["2€", "14%", "1%", "1€", "14€", "2%"] increase in the firm size is on average associated with a [ Select ] ["2%", "1%", "14%", "2€", "0.14€", "1€"] decline in the stock price, which is statistically [ Select ] ["significant", "insignificant"] .

Answers

This regression analysis provides evidence that firm size is an important factor in understanding stock price movements and can be a valuable variable to consider when analyzing stock market data.

In the conducted regression analysis, the dependent variable was the stock price, while the independent variable, firm size, was measured on a natural log scale. The beta coefficient for firm size was determined to be -14, with a p-value of 0.02. This implies that for every 1% increase in the firm size, there is, on average, a 14% decline in the stock price. The negative sign indicates an inverse relationship between firm size and stock price. Moreover, the statistical significance of the beta coefficient suggests that this relationship is unlikely to have occurred by chance.

The negative beta coefficient of -14 indicates that there is a significant relationship between firm size and stock price. Specifically, a 1% increase in firm size is associated with a 14% decline in the stock price, on average. The negative relationship suggests that larger firms tend to have lower stock prices. The p-value of 0.02 indicates that the relationship is statistically significant, meaning that it is unlikely to have occurred by random chance. This regression analysis provides evidence that firm size is an important factor in understanding stock price movements and can be a valuable variable to consider when analyzing stock market data.

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September 14, 2022 - Bike Mail paid for the supplies purchased on September 4, 2022. Account Name Debit Credit A. Supplies Expense Cash Supplies Cash B. c. D. Cash Accounts Payable Supplies Expense Supplies 2,000 2,000 2,000 2,000 2.000 2,000 2,000 2,000

Answers

The correct answer is D. Cash Accounts Payable Supplies Expense Supplies.

On September 14, 2022, Bike Mail paid for the supplies purchased on September 4, 2022. This is a decrease in cash and an increase in accounts payable. The supplies expense is also increased to reflect the cost of the supplies.

When Bike Mail purchased the supplies on September 4, 2022, it increased the supplies account and increased accounts payable. This is because Bike Mail had not yet paid for the supplies, so it was considered a liability. On September 14, 2022, when Bike Mail paid for the supplies, it decreased cash and decreased accounts payable. This is because Bike Mail no longer owed money for the supplies, so the liability was eliminated. The supplies expense was also increased to reflect the cost of the supplies. This is because the supplies were used up during the month of September, so they are considered an expense.

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A bread company allocates a maximum of

​$26,000

to advertise its product to television and newspaper. Each hour of television costs

​$5,000​,

and each page of newspaper advertising costs

​$2,000.

The exposure from each hour of television time is assumed to be

120,000​,

and the exposure from each page of newspaper advertising is

90,000.

​Furthermore, the board of directors requires at least

two

hours of television time and one page of newspaper advertising. How should the advertising budget be divided to maximize exposure to the​ advertisements?

Answers

The advertising budget should be divided into 2 hours of TV and 1 page of newspaper. This will maximize the exposure of the advertisements.

The bread company has a budget of $26,000 for advertising its product on television and newspaper. To advertise on television, the company has to pay $5,000 per hour and for a newspaper advertisement, the cost is $2,000 per page. The exposure of each hour of television time is 120,000 and for each page of newspaper advertising, it is 90,000.

As per the board of directors, the company must allocate at least two hours of television time and one page of newspaper advertising. So, the company should allocate $10,000 for two hours of television time, which will give them an exposure of 240,000. Also, the company should allocate $2,000 for one page of newspaper advertising, which will give them exposure of 90,000. Therefore, the advertising budget should be divided into 2 hours of TV and 1 page of the newspaper to maximize exposure to the advertisements.

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How to address the role of history and culture in determining an
organisation’s position. ( STATEGIC MANAGEMENT AND PLANNING.)
(EXPLORING STRATEGY)

Answers

The role of history and culture in determining an organization's position is significant in strategic management and planning. The historical context of an organization provides valuable insights into its past actions, decisions, and performance.

By understanding the organization's history, leaders can identify patterns, learn from past successes and failures, and leverage historical knowledge to shape future strategies. Historical events, milestones, and experiences can shape the organization's identity, values, and core competencies, which in turn influence its position in the market and industry.

Culture, on the other hand, refers to the shared beliefs, values, norms, and behaviors within an organization. Organizational culture plays a crucial role in shaping the organization's strategic direction and positioning.

Culture influences decision-making processes, employee behavior, collaboration, and innovation. It can affect how the organization responds to changes in the external environment and drives competitive advantage. Understanding and aligning with the organization's culture is essential for effective strategic planning and implementation.

In summary, history provides a foundation of knowledge and lessons learned, while culture shapes the organization's values and behaviors. Both elements contribute to an organization's position and strategic decision-making, emphasizing the importance of considering history and culture in strategic management and planning processes.

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Norway extracts 1 million barrels of oil and sells this oil for 100 million US dollars. This money is used to buy shares in a foreign company.
A) How does the extraction of oil affect BNP in Norway?
B) How does the driving of shares abroad affect Norway's savings?

Answers

The extraction of oil in Norway has a positive impact on the country's Gross Domestic Product (GDP) as it contributes to economic output. However, the driving of shares abroad using the revenue from oil sales affects Norway's savings by reducing the domestic accumulation of financial assets.

A) The extraction of oil in Norway has a positive impact on the country's Gross Domestic Product (GDP). GDP measures the total value of goods and services produced within a country's borders. Oil extraction involves economic activities such as drilling, refining, and transportation, which generate income and contribute to economic output. As a result, the revenue generated from oil sales contributes to the overall GDP of Norway. B) When the revenue from oil sales is used to buy shares in a foreign company, it affects Norway's savings. Savings represent the portion of income that is not consumed and is set aside for future use. By driving shares abroad, Norway is effectively investing its financial resources in foreign assets rather than accumulating domestic savings. This reduces the amount of savings available within the country and shifts financial assets to the foreign market. The impact on Norway's savings depends on the magnitude of the share purchases and the proportion of the revenue allocated to such investments.

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Choose from the following list of terms/phrases to best complete the statements below. 1. to the capital account. 2. closed. 3. Permanent accounts report on activities related to carry their ending ba

Answers

Permanent accounts report on activities related to carry their ending balances forward to the next accounting period.

The term "to the capital account" is used to indicate that a transaction or adjustment affects the capital account of a business entity.

The term "closed" refers to the process of transferring the balances of temporary accounts, such as revenue and expense accounts, to the retained earnings account at the end of an accounting period.

Permanent accounts, also known as real accounts, are accounts whose balances are not closed at the end of an accounting period. These accounts include asset, liability, and equity accounts. Their ending balances are carried forward to the next accounting period.

When a transaction or adjustment is recorded "to the capital account," it means that it has an impact on the owner's equity or the shareholders' equity of a business. The capital account represents the investments made by the owner or shareholders in the business and any changes to it directly affect their ownership interests.

The process of closing accounts is done at the end of an accounting period to reset temporary accounts to zero and transfer their balances to the retained earnings account. This is done to prepare the accounts for the next accounting period and to calculate the net income or loss for the current period.

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18. prepare journal entry for issuing $300,000 bonds for cash at
98

Answers

The journal entry for issuing $300,000 bonds for cash at 98 would involve recording the increase in cash received from the bond issuance and the corresponding liability created by the bonds issued.

The journal entry would be as follows:

Debit: Cash ($300,000 × 98%) = $294,000

Credit: Bonds Payable ($300,000)

When the company issues bonds for cash, it receives the cash amount from the bondholders. In this case, the company receives $300,000. However, since the bonds are issued at a discount (98% of their face value), the cash received would be the discounted amount, which is $294,000.

On the other side of the entry, the company creates a liability called "Bonds Payable" for the face value of the bonds issued, which is $300,000 in this case. The Bonds Payable account represents the company's obligation to repay the bondholders at maturity.

By recording this journal entry, the company recognizes the cash received from the bond issuance and establishes the corresponding liability on its balance sheet.

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The Telecom Industry in India. (Reliance Jio, Bharti Airtel, Vodafone Idea, BSNL, MTNL) Characterize the telecom industry and discuss its evolution. Analyse the performance of the key players in terms of their product, output, price, revenue, profit etc
Data included in the analysis may be from databases such as Prowess; Company annual reports from Bloomberg and similar secondary sources. The sources of data should be mentioned.
The outer limit for the size of the report should be 10 pages.
Focus should be on the application of the theory (Micro Economics).
A plagiarism report should be submitted along with the project report.
Title – it should be interesting and justified by the work
• Introduction – should include importance and the justification of the telecom industry
• Objective of the analysis • Evolution/ Key developments in the industry along with Government policy intervention (if any) overtime
• Analysis of structure, market share, degree of competition
• Analyse the performance of the key player/players in the industry in terms of their product, output, price, revenue, profit etc.
• Conclusion – should touch upon the issues, challenges and prospects
Look forward to a positive response and a complete solution to the same.

Answers

Reliance Jio, Bharti Airtel, Vodafone Idea, BSNL, and MTNL are the key players in the industry. The performance of these key players in the industry was analyzed in terms of their product, output, price, revenue, profit, etc.

The Telecom Industry in India is characterized by the presence of Reliance Jio, Bharti Airtel, Vodafone Idea, BSNL, and MTNL. The industry has seen significant growth and evolution in recent years. The objective of this analysis is to examine the performance of key players in the industry in terms of their product, output, price, revenue, profit, etc.

In conclusion, the Telecom Industry in India has seen tremendous development in recent years.  Government policy interventions, market structure, and competition were also analyzed. The report concludes by highlighting the challenges and prospects for the telecom industry in India.

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For a firm that perfectly price discriminates,
a. price is less than marginal revenue.
b. price is greater than marginal revenue.
c. price equals marginal revenue.
d. price has no definite relationship with marginal revenue.

Answers

The correct answer is c. Price equals marginal revenue for a firm that perfectly price discriminates. For a firm that perfectly price discriminates, the price is equal to marginal revenue. This means that the firm charges each customer the maximum price they are willing to pay, resulting in a price that aligns with marginal revenue.

Perfect price discrimination occurs when a firm is able to charge each customer the maximum price they are willing to pay for a product or service. In this scenario, the firm can extract the entire consumer surplus, which is the difference between the price the customer is willing to pay and the actual price they pay. To achieve perfect price discrimination, the firm must have perfect information about each customer's willingness to pay. By tailoring the price to each customer's specific valuation, the firm can capture all the surplus and maximize its profits. In this case, the price charged by the firm is equal to the marginal revenue it earns from each additional unit sold. Marginal revenue represents the change in total revenue resulting from selling one more unit. Since the firm can charge different prices for each unit, the price and marginal revenue are equal.

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You have been appointed as the Marketing Manager of Makro, Massmart CEO Mitchell Slape has assigned you tasks and requires you to write a report that will be presented at the next Massmart Board meeting. You are encouraged to conduct further research on the company.
Background issues
1Massmart . is a South African firm that owns local brands such as Game, Makro, Builder's Warehouse, Cambridge Food and Cash & Carry stores.
2Massmart announces a price freeze in all their brands for the duration of the 21-day nationwide lockdown. This will involve. suspending price adjustments that were scheduled, as part of the normal
course of business, before the lockdown was announced. Fresh produce, which is procured daily from fresh produce markets around the country, is the only category that is not included in this announcement.
3Commenting on the decision, Massmart CEO Mitchell Slape said: "This is an unprecedented time for South Africa and the. world. As we all come to terms with the impact of the Covid-19 pandemic, we must do everything we can to support our customers. We are grateful to our suppliers who support this principled position.’
Assess the situation that Makro is facing in the South African retail industry that prompted them to freeze prices.

Answers

The situation that Makro is facing in the South African retail industry that prompted them to freeze prices is the Covid-19 pandemic. The unprecedented time has hit the economy hard, and consumers are facing hard financial situations, causing retailers like Makro to adjust their marketing strategies to ensure they remain competitive in the market.

The announcement of the price freeze by Makro, as well as other brands owned by Massmart, came after the nationwide lockdown in South Africa that lasted for 21 days. The company suspended price adjustments that were scheduled, as part of the normal course of business, before the lockdown was announced. Only fresh produce, which is procured daily from fresh produce markets around the country, is excluded from the freeze.

The company's CEO, Mitchell Slape, said in a statement that "This is an unprecedented time for South Africa and the world. As we all come to terms with the impact of the Covid-19 pandemic, we must do everything we can to support our customers. We are grateful to our suppliers who support this principled position."Therefore, the decision to freeze prices at Makro, as well as other brands owned by Massmart, was made to support their customers during the tough economic times caused by the Covid-19 pandemic.

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Which of the following is NOT a lever for increasing the service level? O a. Reducing demand standard deviation O b. Paying suppliers later Oc. Increasing safety inventor O d. Reducing lead time

Answers

B. Paying suppliers later

The correct answer is b.

Paying suppliers later.

Paying suppliers later does not directly impact the service level. Increasing safety inventory, reducing demand standard deviation, and reducing lead time are all levers that can help increase the service level by improving reliability, reducing variability, and increasing responsiveness to customer demands.

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The actual cost of direct labor per hour is $14.75. Two and one half standard direct labor hours are allowed per unit of finished goods. During the current period, 2,400 units were produced using 5,700 direct labor hours. The direct labor efficiency variance is $3,400 favorable. Calculate the standard direct labor rate per hour. O A. $14.75 OB. $1.42 O C. $11.33 OD. $1.76

Answers

To calculate the standard direct labor rate per hour, we need to find the actual cost per hour and the standard direct labor hours allowed per unit.

Actual cost of direct labor per hour = $14.75

Standard direct labor hours allowed per unit = 2.5 hours

To find the standard direct labor rate per hour, we can use the direct labor efficiency variance formula:

Direct Labor Efficiency Variance = (Standard Hours - Actual Hours) × Standard Rate

We are given that the direct labor efficiency variance is $3,400 favorable. Substituting the known values into the formula:

$3,400 = (2,400 × 2.5 - 5,700) × Standard Rate

Simplifying the equation:

$3,400 = (6,000 - 5,700) × Standard Rate

$3,400 = 300 × Standard Rate

To find the standard rate, divide both sides of the equation by 300:

Standard Rate = $3,400 / 300

Standard Rate = $11.33

Therefore, the standard direct labor rate per hour is $11.33. Option C, $11.33, is the correct answer.

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"Suppose that the dynamic aggregate demand curve in Swaziland is determined by the equation M + v = 6%. Using this information, draw Swaziland's dynamic aggregate demand curve on the graph: Aggregate demand ] Real GDP growth rate"

Answers

The dynamic aggregate demand curve in Swaziland is determined by the equation M + v = 6%.  it can be inferred that an increase in the quantity of money (M) and the velocity of money (v) will lead to an increase in aggregate demand, while a decrease in M and v will lead to a decrease in aggregate demand.

The aggregate demand (AD) is defined as the sum total of all goods and services that an economy wants to buy at a given price level. In other words, it shows the relationship between price levels and the quantity of goods and services that consumers are willing to buy.Suppose that the dynamic aggregate demand curve in Swaziland is determined by the equation M + v = 6%. Using this information, the following is the graph of Swaziland's dynamic aggregate demand curve on the graph: Aggregate demand ] Real GDP growth rate.It is not possible to depict the dynamic aggregate demand curve as it is described in a 100 word answer. A graph of the dynamic aggregate demand curve for Swaziland must be created as per the equation M + v = 6%. However, based on the information provided in the question, it can be inferred that an increase in the quantity of money (M) and the velocity of money (v) will lead to an increase in aggregate demand, while a decrease in M and v will lead to a decrease in aggregate demand.

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Which of the following correctly describes the accounting treatment for interest​ payable?
A. It is shown on the balance sheet as a current liability.
B. It is shown on the balance sheet as a​ long-term liability.
C. It is shown on the income statement as an operating expense.
D. It is shown on the balance sheet as a current asset.

Answers

The correct answer is: A. It is shown on the balance sheet as a current liability.

Interest payable represents the amount of interest that a company owes but has not yet paid. It is considered a current liability because it is expected to be settled within one year or the operating cycle, whichever is longer. Therefore, it is reported on the balance sheet under the current liabilities section, reflecting the company's obligation to pay the accrued interest in the near term.

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Your organization assigned you the task for auditing one of its sites which involve SHE potential hazards. Mention briefly (in the form of summarized points) the steps you should go through to assure successful auditing program. Q8. Explain briefly how to use the expected loss index in decision making with numerical example. Q9. Give a numerical example to apply the approach proposed by Heinrich et al. (1980) for risk analysis and cost effectiveness evaluation.

Answers

The steps to be followed in order to assure a successful auditing program are as follows:Define the scope of the audit: It is important to define the scope of the audit in order to narrow down the focus of the audit. It is essential to define the boundaries and expectations before the audit begins

. Define the criteria for audit: Defining audit criteria helps the auditor in deciding the standard which is required for the audit. This can be done by checking whether the business is adhering to the legal requirements or not. This criterion is usually set by the company’s management. Planning: Planning plays an important role in the success of an audit program. It helps the auditor in keeping track of the time and resources needed to complete the audit. Audit program planning includes developing checklists, communication plans and sampling techniques. Conducting the audit: The auditor conducts the audit by collecting and verifying data to evaluate whether the established criteria are met or not. This is done by interviewing employees, reviewing documentation and conducting field observations. Reporting: Reporting the findings is essential for the auditor as well as for the management. The auditor prepares a report which summarizes the findings. The report should be clear and concise. Follow-up: This is the final step where the auditor follows up to check whether the company has implemented the recommended changes or not. Q8. The Expected Loss Index helps decision-makers to assess risk. It is expressed as a percentage and is calculated as follows:Expected Loss Index = Expected Loss / Total Value of Exposed AssetsThe Expected Loss Index provides a numerical way to assess risk. For instance, if the Total Value of Exposed Assets is $1,000,000 and the Expected Loss is $10,000, the Expected Loss Index is 1%. Decision-makers can use this index to evaluate which risks should be prioritized and which can be ignored. Q9. Heinrich et al. (1980) proposed an approach to risk analysis and cost-effectiveness evaluation. Their approach involves the following steps:Identify unsafe conditionsIdentify unsafe actsIdentify accidentsDetermine the number of accidents that result from unsafe acts and unsafe conditionsCalculate the ratio of unsafe acts to accidentsCalculate the ratio of unsafe conditions to unsafe actsIdentify the cost of unsafe conditions and actsCalculate the cost of accidents caused by unsafe actsCalculate the cost of accidents caused by unsafe conditionsCalculate the cost of correcting unsafe acts and conditionsCalculate the cost of preventing accidents caused by unsafe acts and conditionsCalculate the cost of insurance premiums based on risk rankingTheir approach is numerical and helps companies prioritize and allocate resources based on the cost-benefit analysis of accident prevention.

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Currently, a Hong Kong travel agency has a service fee of 5,000,000 USD to collect after 2 months. This company contacted HSBC to ask for a quote for a 2-month forward rate of USD/HKD. Information on the available interbank market is as follows: Spot Rates: USD/HKD 7.7632-7.7643 HKD 2-month term interest rate: 3.8% -4.05% USD 2-month forward interest rate: 4.50% -4.70% a/ Calculate the forward rate of 2 months USD/HKD. b/ What are the risks Hong Kong tour operators face? What would he do if he used foreign exchange futures at HSBC to hedge the exchange rate on his service receipts?

Answers

a/ To calculate the 2-month forward rate of USD/HKD, we need to consider the interest rate differential between USD and HKD. Using the given information, we can calculate the forward points as follows:

USD/HKD spot rate: 7.7643
USD 2-month forward interest rate: 4.50%
HKD 2-month term interest rate: 3.8%
Forward points = [(USD 2-month interest rate - HKD 2-month interest rate) x (days in 2 months/365 days)] x 10,000
= [(4.50% - 3.8%) x (60/365)] x 10,000
= 4.08
Forward rate = Spot rate + Forward points
= 7.7643 + 0.000408
= 7.7647
Therefore, the 2-month forward rate of USD/HKD is 7.7647.
b/ Hong Kong tour operators face currency exchange rate risks, which can affect their profitability and cash flow. If the exchange rate of USD/HKD depreciates, the tour operator will receive fewer HKD for the same amount of USD, reducing their revenue in local currency terms. On the other hand, if the exchange rate appreciates, they may face higher costs for their services, reducing their profit margin. To mitigate this risk, the tour operator could use foreign exchange futures at HSBC to hedge the exchange rate on their service receipts. By entering into a futures contract, the tour operator can lock in the exchange rate at a predetermined level, thereby eliminating the risk of exchange rate fluctuations. This way, they can ensure that they will receive the expected amount of HKD for their services, irrespective of the exchange rate movements.

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There are three questions here. Answer any two (2). Don't answer more than two questions. Each question is worth points A Describe the common components of the new model of publication with the camples Discuss the act of public are in the implementation of propies and program with suitable comples Why is public sector management necessary Discuss.

Answers

Describe the common components of the new model of publication with the camples Publishing is the process of producing and disseminating information, literature, music, or software.

The traditional publication model has been replaced by a new model, which has a number of common components. The common components of the new model of publication with the samples are as follows: 1. Digitalization - Everything has been converted to a digital format, from books to journals.2. Internet Connectivity - The internet is a vital component of this model.

Everything can be accessed from the internet.3. Global Accessibility - The internet allows for global access, making it easy for people all over the world to access information.4. Low-cost Publication - The costs of publication have been significantly reduced as a result of this model.

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why is it important that an isolated system (the calorimeter) is used in this experiment? When developing your business strategy and want to enter a new market, you always analyze the following business threats that might negatively impact your business? [more than one answer] a) New competitors in the market b) New product in the market c) Customers' influence d) Your time management Problem 1: Repairs arrive at a small-engine repair shop in a totally random fashion at the rate of 10 per day. 1. What is the average number of jobs that are received daily at the repair shop. 2. What is the probability that no jobs will arrive during any 1 hour, assuming that the ship is open 8 hours a day?Problem 2: Cars arrive at a gas station randomly every 2 minutes, on average. 1. Determine the probability that the interarrival time of cars does not exceed 1 minute. 2. 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Problem 1 In Smalltown, 60% of all sunny days are followed by sunny days, and 70% of all cloudy days are followed by cloudy days. Use this information to model Smalltown's weather as a Markov chain. Problem 2 Assume that the probability of rain tomorrow is 0.5 if it is raining today, and assume that the probability of its being clear (no rain) tomorrow is 0.9 if it is clear today. Also, assume that these probabilities do not change if information is also provided about the weather before today. 1. Formulate the evolution of the weather as a Markov chain by defining its states and giving its (one-step) transition matrix. 2. By using calculator, find the n-step transition matrix P(") for n = 2, 5, 10, 20. 1 Mandume Toivo is the head of catering at the University of Namibia. The University has well-established cafeterias on each of its five campuses. These cafeterias serve wholesome meals to staff and students. Their operating times are from 8am 4pm, Monday to Friday. There are numerous part-time students, who come straight from work and spend at least three hours in lectures. He would like to introduce vending machines at certain points on all the campuses to cater for these part-time students. These vending machines would have to be stocked and checked for 36 weeks of the year. The University of Namibia would have to hire these vending machines for a year the annual lease rental per machine is N$6 000. These vending machines would stock healthy snacks, fruit juices, etc. The average selling price of these items is N$10 and the average variable cost per item is N$8. A worker would be required to restock the machines their wages per week would be N$250. These machines would have to be serviced regularly the annual service charge would be N$1 200. The estimated electricity cost of operating these machines is N$45 per week. The estimated sales for the year would amount to N$99 000, for each machine. Mandume is required to submit a proposal to the finance committee at the University of Namibia investigating the viability of introducing vending machines on campus. Required Marks Sub-total Total Prepare the proposal on her behalf.The proposal must include the following:1.1 The breakeven point in units, budgeted profit and the margin of safety ratio.1.2 The number of units that must be sold to ensure a profit of at least N$5 000. His proposal should also investigate the following possible changes:1.3 If the vending machine company increases the rental of the machines by 3%, what impact would this have on the breakeven point, margin of safety and net profit?1.4 If 12 machines were introduced and advertising costs of N$15 000 were incurred, how much sales must the advertising campaign generate in order to be effective? A sled is pulled through a distance of 150m by an 85N force applied at an angle of 45 to the direction of travel. Find the work done. Marking Scheme (out of 4) 1 mark for sketching a vector diagram 2 marks for completing the formula and subbing in values 1 mark for the answer and therefore statement . Inflation means that: o prices in the aggregate are rising, although some particular prices may be falling o all prices are rising and at the same rate. all prices are rising, o but at different rates. o real incomes are rising. What is the change in internal energy of a car if you put 12.0 gal of gasoline into its tank? The energy content of gasoline is 1.3108 J/gal1.310 8 J/gal . All other factors, such as the car's temperature, are constant. 12) Maximize the function z = 01x + : XZ O y zo 2x +y 45 x+x4 What does Dynamic Steel need to do to be successful withthe new product (wider rolled flange beam)?!!! < 305 of 484 > Aa Next 6. Dynamic Steel Dynamic Steel is one of two major producers of wide-flange beams in the United States. The other producer is USX. A number of small firms also compete, but process capability calculations make little sense if the process:____ Choose the correct model from the list.Joanna is doing a study to compare ice-cream flavor preferences at 3 ice-cream stores in different cities. She wants to determine if customer preferences are related to store location or if they are independent. She will select a sample of customers, and categorize each customer by store location and flavor preference.Group of answer choicesA. Chi-square test of independenceB. One sample t test for meanC. One sample Z test of proportionD. One Factor ANOVAE. Simple Linear RegressionF. Matched Pairs t-test