POST UTME OAU 2025 Economics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A monopolist is producing a good u\sing a production function of the form Q = 2L^0.5K^0.5. If the price of labor is ₦100 per unit and the price of capital is ₦200 per unit, find the optimal combination of labor and capital that maximizes the monopolist's profit.
A. L = 100, K = 50
B. L = 50, K = 100
C. L = 100, K = 100
D. L = 50, K = 50
Question 2
A monopolistically competitive firm faces a downward-sloping demand curve. If the firm increases its price, what will happen to its marginal revenue?
A. Increase
B. Decrease
C. Remain the same
D. Become more elastic
Question 3
A consumer has the following utility function: U(x, y) = 2x + 3y. The prices of x and y are $2 and $3, respectively. What is the consumer's budget constraint?
A. 2x + 3y = 6
B. 2x + 3y = 12
C. 2x + 3y = 18
D. 2x + 3y = 24
Question 4
A country's budget is given by the equation B = R - T, where B is the budget, R is revenue, and T is tax. If the country's revenue is ₦10 trillion and tax is ₦2 trillion, find the country's budget.
A. ₦8 trillion
B. ₦9 trillion
C. ₦10 trillion
D. ₦11 trillion
Question 5
A firm's \cost function is given by C = 2Q^2 + 10Q. The revenue function is given by R = 20Q. What is the profit-maximizing quantity?
A. 5 units
B. 10 units
C. 15 units
D. 20 units
Question 6
A country's balance of payments is in equilibrium when its current account is equal to its capital account. What is the name of this equilibrium?
A. Current account equilibrium
B. Capital account equilibrium
C. Balance of payments equilibrium
D. Trade balance equilibrium
Question 7
A firm is producing a good u\sing a production function of the form Q = 2L^0.5K^0.5. If the price of labor is ₦100 per unit and the price of capital is ₦200 per unit, find the optimal combination of labor and capital that minimizes the \cost of production.
A. L = 100, K = 50
B. L = 50, K = 100
C. L = 100, K = 100
D. L = 50, K = 50
Question 8
Consider a country with a mixed economy, where the government intervenes in the market to correct market failures. The government imposes a tax on a particular good to reduce its consumption. However, the tax revenue is not used to reduce the price of the good. Instead, it is used to fund a different public project. What is the effect of this tax on the equilibrium price and quantity of the good in the market?
A. The tax will increase the equilibrium price and decrease the equilibrium quantity of the good.
B. The tax will decrease the equilibrium price and increase the equilibrium quantity of the good.
C. The tax will have no effect on the equilibrium price and quantity of the good.
D. The tax will increase the equilibrium price but have no effect on the equilibrium quantity of the good.
Question 9
Determine the equilibrium price and quantity of a commodity in a market where the demand function is given by Qd = 100 - 2P and the supply function is given by Qs = 2P - 10, where P is the price in naira.
A. ₦50, 50 units
B. ₦75, 25 units
C. ₦100, 0 units
D. ₦125, 50 units
Question 10
A monopolist is producing a good u\sing a production function of the form Q = 2L^0.5K^0.5. If the price of labor is ₦100 per unit and the price of capital is ₦200 per unit, find the optimal combination of labor and capital that maximizes the monopolist's profit.
A. L = 100, K = 50
B. L = 50, K = 100
C. L = 100, K = 100
D. L = 50, K = 50
Question 11
Consider a firm operating in a perfectly competitive market with a production function Q = 2L^0.5K^0.5. If the price of the good is P = 10, and the firm's \cost function is C(L,K) = 2L + 3K, what is the optimal level of labor (L) and capital (K) to maximize profits?
A. \( L = 4, K = 4 \)
B. \( L = 2, K = 2 \)
C. \( L = 8, K = 8 \)
D. \( L = 1, K = 1 \)
Question 12
A firm is considering investing in a new project with a required rate of return of 12%. The project has a net present value (NPV) of -100,000. What is the present value of the expected future cash flows?
A. ( 80,000 )
B. ( 100,000 )
C. ( 120,000 )
D. ( 140,000 )
Question 13
A firm's production function is given by Q = 2L^\( 1/2 \)K^\( 1/2 \), where L is labor and K is capital. If the firm's current labor and capital inputs are 16 and 9 respectively, what is the marginal product of labor (MPL) at this point?
A. 1/4
B. 1/2
C. 1
D. 2
Question 14
A firm is producing a good u\sing a production function of the form Q = 2L^0.5K^0.5. If the price of labor is ₦100 per unit and the price of capital is ₦200 per unit, find the optimal combination of labor and capital that minimizes the \cost of production.
A. L = 100, K = 50
B. L = 50, K = 100
C. L = 100, K = 100
D. L = 50, K = 50
Question 15
A firm is producing a good with the following production function: q = 2L^0.5K^0.5. The firm is facing a labor market with a wage rate of $10 per hour and a capital market with a rental rate of $5 per hour. What is the firm's \cost-minimizing input combination?
A. L = 100, K = 100
B. L = 200, K = 50
C. L = 50, K = 200
D. L = 100, K = 50

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