POST UTME UNN 2025 Commerce | Objective
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Question 1
A company's revenue function is given by R = 100L + 200K. If the price of labor (L) is 10 per unit and the price of capital (K) is 20 per unit, and the company wants to maximize its revenue, what is the optimal level of labor (L) and capital (K)?
Question 2
A company's stock control system has a maximum stock level of 5000 units. If the company's sales rate is 10 units per day and the company's stock level is currently 4000 units, what is the number of days the company can maintain its current sales rate without running out of stock?
Question 3
A firm's profit function is given by π = 100L + 200K - 100 - 2L - 3K. If the price of labor (L) is 10 per unit and the price of capital (K) is 20 per unit, and the firm wants to maximize its profit, what is the optimal level of labor (L) and capital (K)?
Question 4
A company's inventory management system uses the First-In-First-Out (FIFO) method. If the company has 100 units of a product with a cost of ₦50 each, and 20 units are sold, what is the total cost of the units sold?
Question 5
A consumer is considering purchasing a product online. Which of the following consumer protection laws is most likely to apply?
Question 6
A company is considering investing in a new project. The project has a high initial cost, but it is expected to generate a high return on investment. Which of the following is a key consideration for the company?
Question 7
In a perfectly competitive market, the supply curve is typically represented by a downward-sloping curve. Which of the following best describes the reason for this downward slope?
Question 8
A company is accused of violating the Consumer Protection Act by selling a product with a misleading label. The company claims that the label was approved by a regulatory agency. However, the agency denies any involvement. Which of the following is the most appropriate course of action for the company?
Question 9
A company is considering outsourcing its logistics to a third-party provider. However, the company is concerned about the potential risks associated with outsourcing. Which of the following is a key benefit of outsourcing logistics?
Question 10
A company is developing a new marketing campaign to promote its products to a younger demographic. Which of the following marketing strategies is most likely to be effective?
Question 11
A firm's cost function is given by C = 100 + 2L + 3K. If the price of labor (L) is 10 per unit and the price of capital (K) is 20 per unit, and the firm wants to minimize its cost, what is the optimal level of labor (L) and capital (K)?
Question 12
A transport company is considering investing in a new fleet of vehicles. The company has two options: to purchase the vehicles outright or to lease them. Which of the following is a key consideration for the company?
Question 13
A consumer has a utility function U(x, y) = 2x + 3y. The prices of x and y are 2 and 3, respectively. If the consumer's income is 100, what is the optimal bundle of x and y?
Question 14
A company has a cash budget of ₦1,500,000 for the next quarter. If the company's cash outflows are ₦500,000 per month, what is the maximum number of months the company can operate without running out of cash?
Question 15
A sole trader's business has a profit of ₦200,000 and a turnover of ₦1,500,000. If the company's expenses are 30% of the turnover, what is the company's profit margin?
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