POST UTME ELIZADE UNIVERSITY 2018 Commerce | Objective
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Question 1
A company has a cost function of C = 2L + 3K, where C is the total cost, L is the labor input, and K is the capital input. If the price of labor is ₦100 per unit and the price of capital is ₦200 per unit, and the company wants to minimize its cost, what is the optimal level of labor and capital?
Question 2
A firm's profit function is given by π = R - C. If the firm's current revenue and cost are R = 300 and C = 200, respectively, what is the firm's current profit?
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 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 5
A company is considering launching a new product. Which of the following is a key factor to consider when determining the feasibility of this venture?
Question 6
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 7
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 8
A bank's return on equity (ROE) is 12%. If the bank's net income is ₦120 million and its total equity is ₦1 billion, what is the bank's return on assets (ROA)?
Question 9
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 10
A firm is considering two different modes of transportation: road and rail. The cost of transporting a unit of goods by road is ₦50, while the cost of transporting the same unit by rail is ₦30. If the firm can transport 100 units of goods per day, what is the total cost of transportation per day?
Question 11
A consumer has a budget of ₦1000 and a utility function given by U = 2x + 3y. If the prices of x and y are ₦5 and ₦10 respectively, what is the consumer's optimal bundle?
Question 12
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 13
In a just-in-time (JIT) inventory system, what is the primary goal of the reorder point (ROP)?
Question 14
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 standard deviation of the portfolio?
Question 15
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.
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