POST UTME SKYLINE UNIVERSITY 2023 Commerce | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A company specializing in the production of luxury cars has a production function given by Q = 100L^0.4K^0.6, where Q is the quantity produced, L is the number of labor hours, and K is the capital invested. If the company wants to increase production by 20% while keeping labor hours constant, what percentage increase in capital investment is required?
A. 10%
B. 20%
C. 30%
D. 40%
Question 2
A firm uses the economic order quantity (EOQ) model to determine its inventory levels. If the ordering cost is ₦100, the holding cost is ₦20, and the annual demand is 10,000 units, what is the optimal order quantity?
A. 1,000 units
B. 2,000 units
C. 5,000 units
D. 10,000 units
Question 3
A firm is considering investing in a new production technology that will increase its output by 20% but also increase its costs by 15%. Using the concept of opportunity cost, what is the opportunity cost of the firm's investment in the new technology?
A. The opportunity cost is the 20% increase in output.
B. The opportunity cost is the 15% increase in costs.
C. The opportunity cost is the 20% increase in output minus the 15% increase in costs.
D. The opportunity cost is the 20% increase in output plus the 15% increase in costs.
Question 4
A company's production process can be optimized by identifying and reducing waste, which is a key principle of
A. Lean Manufacturing
B. Six Sigma
C. Total Quality Management
D. Just-in-Time Production
Question 5
A sole trader, Mr. A, has a business that generates an average annual profit of ₦500,000. If he decides to incorporate his business, what will be the tax implications for him?
A. He will pay more taxes as a sole trader.
B. He will pay the same amount of taxes as a sole trader.
C. He will pay less taxes as a sole trader.
D. He will pay no taxes as a sole trader.
Question 6
A sole trader has a business income of ₦500,000 and expenses of ₦200,000. What is the sole trader's net profit?
A. ₦300,000
B. ₦400,000
C. ₦500,000
D. ₦600,000
Question 7
A firm specializes in producing two goods, X and Y, using two inputs, labor (L) and capital (K). The production functions for X and Y are given by the following equations: X = 2L + 3K Y = 4L + 2K The firm's objective is to maximize its profit, which is given by the equation: Profit = P_X * X + P_Y * Y - (W * L + R * K) where P_X and P_Y are the prices of goods X and Y, W is the wage rate, and R is the rental rate of capital. Using the Lagrange multiplier method, derive the first-order conditions for the firm's profit-maximization problem.
A. The firm should produce more of good X and less of good Y.
B. The firm should produce more of good Y and less of good X.
C. The firm should produce an equal amount of both goods X and Y.
D. The firm should produce neither good X nor good Y.
Question 8
A company is considering the implementation of a new inventory management system. The system will cost ₦1,500,000 and is expected to reduce inventory costs by 15% annually. If the company's current inventory costs are ₦3,000,000 per annum, what is the expected return on investment (ROI) for the first year?
A. 25%
B. 30%
C. 35%
D. 40%
Question 9
A bank offers a loan of ₦1,000,000 at an interest rate of 12% per annum. If the loan is repayable in 5 years, what is the total amount to be repaid at the end of the loan period?
A. ₦1,200,000
B. ₦1,300,000
C. ₦1,400,000
D. ₦1,500,000
Question 10
A company is considering two different marketing strategies for its new product. Strategy A involves a high initial investment, but it is expected to generate a high return on investment (ROI) of 30%. Strategy B involves a lower initial investment, but it is expected to generate a lower ROI of 15%. If the company wants to maximize its ROI, which strategy should it choose?
A. Strategy A
B. Strategy B
C. Both strategies are equally good
D. Neither strategy is good
Question 11
A consumer is faced with a choice between two goods: a smartphone and a laptop. The consumer's budget is ₦50,000. The smartphone costs ₦30,000, and the laptop costs ₦20,000. Using the concept of indifference curves, what is the consumer's optimal choice?
A. The consumer will choose the smartphone.
B. The consumer will choose the laptop.
C. The consumer will choose both the smartphone and the laptop.
D. The consumer will choose neither the smartphone nor the laptop.
Question 12
A consumer protection agency has received complaints about a company's misleading advertising. The company claims that their product is '99% effective' in reducing wrinkles. However, the agency has discovered that the product is only effective in 85% of cases. What is the correct description of the company's advertising claim?
A. The company's claim is accurate.
B. The company's claim is misleading.
C. The company's claim is ambiguous.
D. The company's claim is irrelevant.
Question 13
A consumer's right to a refund for a defective product is protected by the
A. Consumer Protection Act
B. Sales of Goods Act
C. Unfair Contract Terms Act
D. Unfair Trading Regulations
Question 14
A consumer protection law requires that all products sold in a particular market must have a minimum warranty period of 2 years. If a company sells a product with a warranty period of 1 year, and the consumer sues the company for breach of contract, what is the likely outcome?
A. The company will win the case
B. The consumer will win the case
C. The case will be dismissed
D. The case will be referred to a higher court
Question 15
In a sole trade business, what is the primary advantage of using a sole proprietorship structure?
A. Limited liability
B. Tax benefits
C. Flexibility in decision-making
D. Easy to establish

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