POST UTME RHEMA UNIVERSITY 2023 Economics | Objective
Practice these randomly selected questions to test your readiness.
Question 1
A farmer in Nigeria produces 1000 bags of maize per year. The price of maize is ₦1500 per bag. If the government imposes a 20% tax on the sale of maize, what is the new price of maize per bag?
Question 2
Consider a firm operating in a perfectly competitive market with a given production function Q = 2L^0.5K^0.5. If the firm's current input prices are w = ₦100 and r = ₦200, and the current output price is p = ₦500, calculate the firm's optimal input mix (L, K) u\sing the Hotelling's Lemma. Assume that the firm's objective is to maximize profits.
Question 3
A firm's demand curve is given by Qd = 100 - 2P. U\sing the concept of elasticity, explain why the firm's demand is inelastic at a price of 20.
Question 4
A firm's production function is given by Q = 2L^0.5K^0.5. If the firm's input prices are w = ₦100 per unit of labor and r = ₦200 per unit of capital, what is the firm's optimal input bundle?
Question 5
A consumer's utility function is given by U(x, y) = 2x + 3y, where x and y are the quantities of two goods consumed. If the consumer's income is ₦1,000 and the prices of the two goods are ₦5 and ₦10 respectively, what is the consumer's optimal bundle of goods?
Question 6
A country's GNP at market price is ₦12 trillion. The government imposes a 15% Value Added Tax (VAT) on all goods and services. Calculate the country's GNP at factor \cost.
Question 7
A government is considering a tax on a particular good. The tax revenue is ₦1000 and the deadweight loss is ₦500. What is the government's net gain from the tax?
Question 8
A monopolistically competitive firm faces a downward-sloping demand curve. U\sing the concept of marginal revenue, explain why the firm will produce at the level where MR = MC.
Question 9
A firm's production function is given by Q = 2L^2 + 5K, where Q is output, L is labor, and K is capital. Determine the returns to scale.
Question 10
A firm's supply function is given by Q = 50 + 2P. If the firm's current price is 20, what is the firm's current quantity supplied?
Question 11
A firm's production function is given by Q = 2L^0.5 * K^0.5. If the firm's current input levels are L = 4 and K = 9, what is the marginal product of labor (MPL) at these input levels?
Question 12
A firm's production function is given by Q = 2L^0.5K^0.5. If the firm's current input prices are w = ₦200 and r = ₦400, and the current output price is p = ₦800, calculate the firm's optimal input mix (L, K) u\sing the Hotelling's Lemma. Assume that the firm's objective is to maximize profits.
Question 13
A consumer's indifference curve is given by the equation U = 2x + 3y. If the consumer's current consumption bundle is (x, y) = (2, 4), what is the consumer's marginal rate of substitution (MRS)?
Question 14
Determine the price elasticity of demand for a product whose price elasticity of demand is 0.5 and the quantity demanded decreases by 20% when the price increases by 10%.
Question 15
The government of Nigeria has introduced a new tax policy aimed at increa\sing revenue from the agricultural sector. The policy includes a 10% tax on all agricultural produce sold in the market. If the total revenue from the sale of agricultural produce is ₦1,500,000, what is the amount of tax paid by the farmers?
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