POST UTME COAL CITY UNIVERSITY 2024 Commerce | Objective

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Question 1
In a perfectly competitive market, what is the relationship between the marginal revenue product of labor (MRPL) and the marginal factor cost of labor (MFC)?
A. MRPL > MFC
B. MRPL < MFC
Correct C. MRPL = MFC
D. MRPL and MFC are unrelated

Correct Answer: C

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Question 2
A company is considering two different production processes for its product. Process A has a fixed cost of ₦100,000 and a variable cost of ₦50 per unit. Process B has a fixed cost of ₦150,000 and a variable cost of ₦30 per unit. If the selling price of the product is ₦75 per unit, which process should the company use to maximize its profit?
Correct A. Process A
B. Process B
C. Both processes are equally profitable
D. Neither process is profitable

Correct Answer: A

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Question 3
A firm is considering two different advertising strategies. Strategy A costs ₦50,000 and is expected to increase sales by 10%. Strategy B costs ₦75,000 and is expected to increase sales by 20%. If the firm's current sales are ₦1,000,000, which strategy should it use to maximize its revenue?
A. Strategy A
Correct B. Strategy B
C. Both strategies are equally effective
D. Neither strategy is effective

Correct Answer: B

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Question 4
A company has a warehouse with a capacity of 10,000 units. The company receives an order for 8,000 units and has a lead time of 5 days. If the company uses a first-in-first-out (FIFO) inventory system, what is the probability that the company will run out of stock before the order is fulfilled?
A. 0.2
Correct B. 0.4
C. 0.6
D. 0.8

Correct Answer: B

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Question 5
A firm is considering two different transportation modes to deliver its products. Mode A costs ₦50 per unit and has a delivery time of 3 days. Mode B costs ₦30 per unit and has a delivery time of 5 days. If the firm's current delivery time is 4 days, which mode should it use to minimize its transportation costs?
A. Mode A
Correct B. Mode B
C. Both modes are equally effective
D. Neither mode is effective

Correct Answer: B

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Question 6
A firm specializes in producing a single product. This specialization is an example of:
A. Economies of scale
Correct B. Division of labor
C. Product differentiation
D. Monopolistic competition

Correct Answer: B

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Question 7
A company's production function is given by Q = 2L^(1/2)K^(1/2). If the company wants to increase its output by 20%, what should be the percentage increase in labor and capital?
A. 10% in labor and 10% in capital
B. 15% in labor and 15% in capital
Correct C. 20% in labor and 20% in capital
D. 25% in labor and 25% in capital

Correct Answer: C

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Question 8
A consumer has a budget constraint of 100 and a preference for two goods, X and Y. The prices of X and Y are 5 and 10 respectively. If the consumer spends all their budget on X, what is the maximum amount they can spend on Y?
A. 5
Correct B. 10
C. 15
D. 20

Correct Answer: B

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Question 9
A firm is considering two different production processes to produce a product. Process A requires an initial investment of 1000 and a variable cost of 10 per unit. Process B requires an initial investment of 500 and a variable cost of 15 per unit. If the firm produces 100 units, what is the total cost of production for each process?
Correct A. Process A: 2000, Process B: 1750
B. Process A: 2500, Process B: 2000
C. Process A: 3000, Process B: 2250
D. Process A: 3500, Process B: 2500

Correct Answer: A

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Question 10
A consumer has a utility function given by U = 2X + 3Y. The prices of X and Y are 5 and 10 respectively. If the consumer's income is 100, what is the optimal bundle of X and Y?
A. X = 10, Y = 5
Correct B. X = 15, Y = 3
C. X = 20, Y = 2
D. X = 25, Y = 1

Correct Answer: B

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Question 11
A sole trader's business is considered a separate legal entity from its owner. However, in the event of the owner's death, the business may be affected by the following legal issues:
A. The business may be subject to inheritance tax.
B. The business may be forced to close due to lack of funding.
Correct C. The business may be liable for the owner's personal debts.
D. The business may be required to pay a probate fee.

Correct Answer: C

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Question 12
A company's Memorandum and Articles of Association are its constitutional documents. Which of the following is a fundamental principle of the Memorandum?
A. The company's name and registered office must be stated.
Correct B. The company's objects must be stated.
C. The company's share capital must be stated.
D. The company's directors must be stated.

Correct Answer: B

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Question 13
A producer's production function is given by the equation Q = 2L^0.5 * K^0.5, where Q is output, L is labor, and K is capital. If the producer wants to increase output by 20% while keeping labor constant at 16 units, what percentage increase in capital is required?
A. 10%
Correct B. 15%
C. 20%
D. 25%

Correct Answer: B

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Question 14
A risk management strategy involves identifying, assessing, and mitigating risks. Which of the following is a type of risk that can be mitigated through diversification?
Correct A. Market risk
B. Credit risk
C. Operational risk
D. Liquidity risk

Correct Answer: A

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Question 15
A bank's balance sheet is given by the equation Assets = Liabilities + Equity. If the bank's assets increase by 10% and its liabilities increase by 5%, what is the percentage increase in equity?
A. 2.5%
B. 5%
Correct C. 7.5%
D. 10%

Correct Answer: C

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Question 16
A company is considering two investment options: Option A, which has a 10% annual return and a 5% risk, and Option B, which has a 15% annual return and a 10% risk. Using the Capital Asset Pricing Model (CAPM), calculate the expected return on Option B, given that the risk-free rate is 2% and the market risk premium is 6%.
A. 17.5%
Correct B. 18%
C. 18.5%
D. 19%

Correct Answer: B

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Question 17
A marketing firm is analyzing the effect of a new advertising campaign on sales. The data shows a positive correlation between the two variables. However, the firm wants to determine if the relationship is causal. Using the concept of confounding variables, explain why the firm should consider using a regression analysis to control for other factors that may influence sales.
A. To determine the effect of the advertising campaign on sales
Correct B. To control for other factors that may influence sales
C. To determine the correlation between advertising expenditure and sales
D. To determine the regression line between advertising expenditure and sales

Correct Answer: B

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Question 18
A company is considering implementing a just-in-time (JIT) inventory system. Using the concept of inventory turnover, explain why JIT is more effective than traditional inventory systems in reducing inventory costs.
Correct A. Because JIT reduces inventory costs by minimizing inventory holding costs
B. Because JIT increases inventory turnover by reducing lead times
C. Because JIT reduces inventory costs by minimizing ordering costs
D. Because JIT increases inventory turnover by minimizing inventory levels

Correct Answer: A

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Question 19
A consumer protection agency is investigating a complaint about a company's unfair business practices. Using the concept of consumer rights, explain why the company's actions are a violation of the consumer's right to be informed.
Correct A. Because the company failed to disclose the terms and conditions of the contract
B. Because the company failed to provide a clear and concise warranty
C. Because the company failed to provide a refund policy
D. Because the company failed to provide a clear and concise instruction manual

Correct Answer: A

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Question 20
A sole trader is considering incorporating their business. Using the concept of limited liability, explain why incorporation provides greater protection for the sole trader's personal assets.
A. Because incorporation limits the sole trader's personal liability to the amount invested in the business
Correct B. Because incorporation provides greater protection for the sole trader's personal assets
C. Because incorporation reduces the sole trader's tax liability
D. Because incorporation increases the sole trader's personal liability

Correct Answer: B

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Question 21
In a perfectly competitive market, the supply curve is upward-sloping because
Correct A. Firms are willing to supply more at a higher price
B. Firms are willing to supply less at a lower price
C. The law of diminishing marginal returns is in effect
D. The market is characterized by a fixed supply

Correct Answer: A

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Question 22
A firm's break-even point is the point at which its total revenue equals its
A. Total fixed costs
B. Total variable costs
Correct C. Total costs
D. Total revenue

Correct Answer: C

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Question 23
The concept of 'moral hazard' is relevant in the context of
Correct A. Insurance contracts
B. Banking and financial institutions
C. Transport and communication
D. Warehousing and stock control

Correct Answer: A

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Question 24
The diagram below shows the relationship between the price of a commodity and the quantity supplied. What is the implication of this relationship for the firm's revenue?
A. The firm's revenue will increase as the price increases
Correct B. The firm's revenue will decrease as the price increases
C. The firm's revenue will remain constant as the price increases
D. The firm's revenue will be unaffected by the price

Correct Answer: B

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Question 25
A firm's 'elasticity of demand' is a measure of the responsiveness of its demand to changes in
Correct A. Price
B. Income
C. Cross-price elasticity
D. Substitutes

Correct Answer: A

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