Practice post utme nile university economics 2024 Past Questions

Question 1

Consider a perfectly competitive market with n firms, each producing a homogeneous product. If the market demand curve is given by Qd = 100 - 2P and the supply curve is given by Qs = 20 + 3P, find the equilibrium price and quantity. Assume that the firms are price-takers and that the market is in equilibrium.

Correct A. ₦50, 80 units

B. ₦40, 60 units

C. ₦30, 40 units

D. ₦20, 20 units

Correct Answer: A

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Question 2

A firm is considering two investment projects. Project A has a net present value (NPV) of ₦1,000,000 and a payback period of 5 years. Project B has an NPV of ₦800,000 and a payback period of 4 years. Which project should the firm choose?

Correct A. Project A

B. Project B

C. Both projects are equally attractive

D. Neither project is attractive

Correct Answer: A

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Question 3

A government is considering a tax on a particular good. The demand curve for the good is given by Qd = 100 - 2P and the supply curve is given by Qs = 20 + 3P. If the government imposes a tax of ₦10 per unit, what will be the new equilibrium price and quantity?

Correct A. ₦60, 70 units

B. ₦50, 60 units

C. ₦40, 50 units

D. ₦30, 40 units

Correct Answer: A

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Question 4

A firm is producing a good u\sing two inputs, labor and capital. The production function is given by Q = 10L^0.5K^0.5, where Q is the quantity produced, L is the amount of labor used, and K is the amount of capital used. If the firm is currently u\sing 100 units of labor and 200 units of capital, what will be the marginal product of labor?

A. 5 units

Correct B. 10 units

C. 15 units

D. 20 units

Correct Answer: B

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Question 5

A government is considering a policy to reduce inflation. The current inflation rate is 10% and the government wants to reduce it to 5% within the next 2 years. If the current interest rate is 10% and the government wants to increase it to 15% within the next 2 years, what will be the effect on the economy?

A. The economy will contract

Correct B. The economy will expand

C. The economy will remain unchanged

D. The effect on the economy will be uncertain

Correct Answer: B

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Question 6

Consider a country with a trade deficit of ₦500 billion and a current account deficit of ₦200 billion. If the country's exchange rate is ₦150 per dollar, what is the value of the trade deficit in dollars?

Correct A. ₦3.33 billion

B. ₦2.67 billion

C. ₦1.5 billion

D. ₦3.33 billion

Correct Answer: A

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Question 7

A firm produces two goods, A and B, u\sing two inputs, labor (L) and capital (K). The production functions are given by A = 2L + 3K and B = 4L + 2K. If the firm's objective is to maximize profit, subject to the constraint that the total output of good A is 10 units, what is the optimal level of labor?

Correct A. 5 units

B. 10 units

C. 15 units

D. 20 units

Correct Answer: A

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Question 8

A country's GDP is ₦10 trillion, and its GNP is ₦12 trillion. If the country's net factor income from abroad is ₦2 trillion, what is the value of the country's national income?

Correct A. ₦14 trillion

B. ₦12 trillion

C. ₦10 trillion

D. ₦8 trillion

Correct Answer: A

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Question 9

A firm's \cost function is given by C = 2L + 3K, where L is labor and K is capital. If the firm's revenue function is given by R = 4L + 2K, what is the firm's profit function?

A. P = 2L + 3K

Correct B. P = 4L + 2K

C. P = 6L + 5K

D. P = 8L + 7K

Correct Answer: B

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Question 10

A country's agricultural sector produces two crops, wheat and maize. The production functions are given by W = 2L + 3K and M = 4L + 2K, where L is labor and K is capital. If the country's objective is to maximize the total output of both crops, subject to the constraint that the total labor input is 20 units, what is the optimal level of capital?

A. 10 units

B. 15 units

Correct C. 20 units

D. 25 units

Correct Answer: C

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Question 11

Consider a small open economy with a fixed exchange rate. The country's import demand function is given by \( MD = 100 - 2P \), where ( P ) is the price of imports in domestic currency. The country's export supply function is given by \( ES = 50 + 3P \). Assuming the initial price of imports is 50, calculate the initial trade balance and the change in trade balance if the price of imports increases by 10.

Correct A. ₦2500

B. ₦500

C. ₦1500

D. ₦1000

Correct Answer: A

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Question 12

A monopolistically competitive firm faces a demand curve given by \( Q = 100 - 2P \). The firm's marginal \cost curve is given by \( MC = 10 + 2Q \). Assuming the firm is currently producing 20 units, calculate the firm's profit-maximizing price and quantity.

A. ₦200

B. ₦250

Correct C. ₦300

D. ₦350

Correct Answer: C

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Question 13

Consider a country with a fixed exchange rate and a trade deficit. The country's import demand function is given by \( MD = 100 - 2P \), where ( P ) is the price of imports in domestic currency. The country's export supply function is given by \( ES = 50 + 3P \). Assuming the initial price of imports is 50, calculate the initial trade deficit and the change in trade deficit if the price of imports increases by 10.

Correct A. ₦2500

B. ₦500

C. ₦1500

D. ₦1000

Correct Answer: A

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Question 14

A country with a fixed exchange rate has a trade deficit of ₦1000. The country's import demand function is given by \( MD = 100 - 2P \), where ( P ) is the price of imports in domestic currency. The country's export supply function is given by \( ES = 50 + 3P \). Assuming the initial price of imports is 50, calculate the change in trade deficit if the price of imports increases by 10.

A. ₦500

B. ₦1500

Correct C. ₦2500

D. ₦3500

Correct Answer: C

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Question 15

A monopolistically competitive firm faces a demand curve given by \( Q = 100 - 2P \). The firm's marginal \cost curve is given by \( MC = 10 + 2Q \). Assuming the firm is currently producing 20 units, calculate the firm's profit-maximizing price and quantity.

A. ₦200

B. ₦250

Correct C. ₦300

D. ₦350

Correct Answer: C

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Question 16

A monopolist faces a demand curve given by Q = 100 - 2P and a \cost function C(Q) = 2Q^2 + 10Q. Find the profit-maximizing price and quantity.

A. P = 40, Q = 30

B. P = 60, Q = 20

Correct C. P = 50, Q = 25

D. P = 45, Q = 35

Correct Answer: C

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Question 17

A firm's production function is given by 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 input combination.

Correct A. L = 4, K = 9

B. L = 9, K = 4

C. L = 16, K = 1

D. L = 1, K = 16

Correct Answer: A

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Question 18

A consumer's utility function is given by U = 2x + 3y. The prices of x and y are ₦50 and ₦75 respectively. Find the consumer's optimal bundle.

Correct A. x = 2, y = 1

B. x = 1, y = 2

C. x = 3, y = 0

D. x = 0, y = 3

Correct Answer: A

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Question 19

A firm's revenue function is given by R = 100x - 2x^2. Find the price elasticity of demand.

A. E = 2

Correct B. E = -2

C. E = 1

D. E = -1

Correct Answer: B

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Question 20

A monopolist faces a demand curve given by Q = 100 - 2P and a \cost function C(Q) = 2Q^2 + 10Q. Find the profit-maximizing price and quantity.

A. P = 40, Q = 30

B. P = 60, Q = 20

Correct C. P = 50, Q = 25

D. P = 45, Q = 35

Correct Answer: C

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Question 21

A firm's \cost function is given by C(q) = 2q^2 + 5q + 10. If the firm's revenue function is R(q) = 20q, find the profit-maximizing quantity of output.

A. 10

Correct B. 20

C. 30

D. 40

Correct Answer: B

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Question 22

A monopolist faces a demand curve given by P = 100 - 2q. The firm's marginal \cost is MC(q) = 10 + 2q. Find the monopolist's profit-maximizing quantity of output.

A. 20

B. 30

Correct C. 40

D. 50

Correct Answer: C

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Question 23

A firm's total revenue is given by R(q) = 20q. If the firm's total \cost is C(q) = 2q^2 + 5q + 10, find the firm's profit.

A. 10

Correct B. 20

C. 30

D. 40

Correct Answer: B

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Question 24

A firm's demand curve is given by P = 100 - 2q. The firm's marginal \cost is MC(q) = 10 + 2q. Find the firm's profit-maximizing quantity of output.

A. 20

B. 30

Correct C. 40

D. 50

Correct Answer: C

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Question 25

A firm's total revenue is given by R(q) = 20q. If the firm's total \cost is C(q) = 2q^2 + 5q + 10, find the firm's profit-maximizing quantity of output.

A. 10

Correct B. 20

C. 30

D. 40

Correct Answer: B

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