POST UTME RHEMA UNIVERSITY 2024 Economics | Objective
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Question 1
The concept of scarcity is closely related to the idea of opportunity \cost. Explain how the opportunity \cost of a choice is determined in a situation where a consumer has to choose between two goods, A and B, with the following prices and quantities: A = ₦100, Q = 10 units; B = ₦80, Q = 15 units. Assume that the consumer has a budget of ₦1,000.
Question 2
A government imposes a tax on a firm's output. The firm's \cost function is given by C(x) = 2x^2 + 5x + 10 and the tax rate is 0.2. What is the new profit function?
Question 3
A firm's production function is given by Q = 2L^0.5K^0.5. If the firm's labor (L) increases by 20% and its capital (K) remains cons\tant, what is the percentage change in output (Q)?
Question 4
A firm's demand function for a product is given by Q = 100 - 2P, where Q is the quantity demanded and P is the price. If the firm wants to maximize its revenue, what is the optimal price?
Question 5
The Nigerian government is considering a policy to increase the price of a commodity by 20%. If the current price is ₦100, what will be the new price?
Question 6
The demand for a product is given by the equation Qd = 100 - 2P, where Qd is the quantity demanded and P is the price. If the price elasticity of demand is -2, what is the price at which the quantity demanded is 60?
Question 7
A farmer produces wheat and maize. The production functions for wheat and maize are given by W(x, y) = 2x^0.5y^0.5 and M(x, y) = 3x^0.5y^0.5 respectively. If the farmer has 100 units of labor and 50 units of capital, what is the maximum output of wheat?
Question 8
A monopolist faces a demand curve given by Qd = 100 - 2P. If the firm produces at a level where MR = MC, what is the price?
Question 9
A country's balance of payments (BOP) is in equilibrium when the current account (CA) is equal to the capital account (KA). If the country's CA is ₦100 billion and its KA is ₦50 billion, what is the country's net foreign exchange earnings?
Question 10
A country's GNP is ₦1,500 billion. The country's GDP is ₦1,200 billion. What is the country's net factor income from abroad?
Question 11
A monopolist faces a demand curve given by Q = 100 - 2P. The monopolist's marginal revenue (MR) function is given by MR = 200 - 2Q. What is the monopolist's optimal price?
Question 12
A firm has a production function of Q = 2L + 3K, where Q is the output, L is the labor, and K is the capital. If the price of labor is ₦10 per unit and the price of capital is ₦20 per unit, what is the \cost-minimizing combination of labor and capital if the output is 100?
Question 13
A firm's \cost function is given by C(q) = 2q^2 + 10q + 5. If the firm's revenue function is R(q) = 20q^2 - 5q + 10, what is the firm's profit function?
Question 14
A country's GDP is ₦1,000 billion. The country's imports are ₦200 billion and its exports are ₦300 billion. What is the country's balance of trade?
Question 15
A firm's average total \cost (ATC) curve is U-shaped. If the firm's short-run ATC curve is initially downward sloping, what can be inferred about the firm's production techno\logy?
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