POST UTME RSU 2021 Economics | Objective
Practice these randomly selected questions to test your readiness.
Question 1
A consumer's budget constraint is given by 2Q + 3P = ₦100, where Q is the quantity consumed and P is the price. If the price of the product increases by 20%, and the consumer wants to maximize her utility, what is the new quantity consumed?
Question 2
A consumer has an income of ₦1000 and faces a price of ₦50 for a good. The consumer's demand function is Q = 20 - 2P. Find the consumer's budget constraint.
Question 3
A firm's total revenue is given by the equation TR = 2Q^2 - 10Q + 20, where Q is the quantity sold. If the firm sells 10 units, find the total revenue.
Question 4
A monopolist has a demand function given by p = 100 - 2q. If the firm's marginal \cost is 10, what is the optimal quantity to produce?
Question 5
A consumer has an income of ₦1000 and faces a price of ₦50 for a good. The consumer's demand function is Q = 20 - 2P. Find the consumer's indifference curve.
Question 6
Suppose 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 supply of the product is given by the equation Qs = 2P - 10, where Qs is the quantity supplied, find the equilibrium price and quantity.
Question 7
A firm's production function is given by Q = 2L^0.5K^0.5, where Q is output, L is labor, and K is capital. If the firm wants to increase its output by 20% while keeping labor cons\tant at 16 units, how much capital (in units) must it invest?
Question 8
A country's balance of payments is given by the following table:\n\n| Item | Value |\n| --- | --- |\n| Exports | ₦1000 |\n| Imports | ₦1500 |\n| Net Factor Income | ₦200 |\n| Net Transfer | ₦300 |\n\nWhat is the country's balance of payments?
Question 9
A consumer's budget constraint is given by 2x + 3y = 12, where x and y are the quantities of two goods consumed. If the consumer's utility function is U(x, y) = 2x + 3y, find the optimal values of x and y.
Question 10
A firm's \cost function is given by C(q) = 2q^2 + 5q + 10, where q is the quantity produced. If the firm's revenue function is R(q) = 20q, what is the firm's profit-maximizing quantity?
Question 11
A monopolist faces a demand curve given by Q = 100 - 2P. The monopolist's marginal revenue function is given by MR = 50 - 2Q. What is the monopolist's optimal price?
Question 12
A firm's \cost function is given by C = 2L + 3K, where C is \cost, L is labor, and K is capital. If the firm wants to minimize its \cost while producing 100 units of output, and the wage rate is ₦10 per unit of labor, and the rental rate is ₦20 per unit of capital, how much capital (in units) should it invest?
Question 13
A consumer in Nigeria has a utility function U(x,y) = 2x + 3y, where x is the quantity of good X and y is the quantity of good Y. If the price of good X is ₦50 and the price of good Y is ₦30, what is the optimal bundle of goods?
Question 14
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 budget constraint is 2x + 3y = 12, find the optimal values of x and y.
Question 15
A country's elasticity of demand for a product is given by the equation E = -2P/Q, where P is the price and Q is the quantity demanded. If the price is ₦50 and the quantity demanded is 20 units, find the elasticity of demand.
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