POST UTME ELIZADE UNIVERSITY 2018 Commerce | Objective
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Question 1
A country's trade balance is given by the equation TB = X - M, where X is the value of exports and M is the value of imports. If the country's exports are ₦1000 and its imports are ₦800, what is the trade balance?
Question 2
In a perfectly competitive market, the supply curve is upward-sloping because of the law of increasing marginal opportunity cost. However, this law is not applicable in the case of a firm that is a price-taker. Explain why.
Question 3
In a perfectly competitive market, the law of supply states that as the price of a good increases, the quantity supplied will
Question 4
A firm has the following production function: Q = 2L^0.5K^0.5, where Q is the quantity produced, L is the labor input, and K is the capital input. If the firm wants to produce 100 units of output, and the wage rate is ₦100 per hour, and the rental rate of capital is ₦200 per hour, what is the optimal combination of labor and capital?
Question 5
A company has a portfolio of assets with the following returns: Asset A has a 20% chance of returning 10%, a 30% chance of returning 20%, and a 50% chance of returning 30%. Asset B has a 20% chance of returning 10%, a 30% chance of returning 20%, and a 50% chance of returning 30%. What is the expected return of the portfolio?
Question 6
A company has a portfolio of assets with the following returns: Asset A has a 20% chance of returning 10%, a 30% chance of returning 20%, and a 50% chance of returning 30%. Asset B has a 20% chance of returning 10%, a 30% chance of returning 20%, and a 50% chance of returning 30%. What is the expected return of the portfolio?
Question 7
In a perfectly competitive market, the supply curve is horizontal and the demand curve is downward-sloping. What is the equilibrium price and quantity of a product in this market?
Question 8
A firm has the following production function: Q = 2L^0.5K^0.5, where Q is the quantity produced, L is the labor input, and K is the capital input. If the firm wants to produce 100 units of output, and the wage rate is ₦100 per hour, and the rental rate of capital is ₦200 per hour, what is the optimal level of labor?
Question 9
A consumer has a utility function of U = 2x + 3y, where x and y are the quantities of two goods consumed. If the prices of the two goods are ₦50 and ₦100 respectively, and the consumer's income is ₦1000, what is the optimal bundle of goods that maximizes the consumer's utility?
Question 10
A firm's revenue function is given by R = 100Q - 2Q^2. If the firm's current price is 10 per unit, what is the firm's current revenue?
Question 11
A consumer has a budget constraint of 100x + 50y = 1000, where x and y are the quantities of two goods consumed. If the consumer's utility function is U = 2x + 3y, what is the optimal bundle of goods that maximizes the consumer's utility?
Question 12
A consumer protection agency has received a complaint about a company's misleading advertising. The agency's primary goal in investigating the complaint is to determine whether the company has engaged in:
Question 13
A company has purchased a liability insurance policy with a deductible of ₦50,000. If the company incurs a loss of ₦150,000, what is the company's net loss after deducting the deductible?
Question 14
In a perfectly competitive market, the supply curve is upward-sloping because of the law of increasing marginal opportunity costs. However, in a monopoly, the supply curve is downward-sloping due to the law of diminishing marginal returns. Which of the following best describes the relationship between the two laws?
Question 15
A firm has the following probability distribution of possible outcomes: P(X=1) = 0.2, P(X=2) = 0.3, P(X=3) = 0.5. What is the expected value of X?
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