Practice post utme wellspring university economics 2024 Past Questions

Question 1

A firm's \cost function is given by C(q) = 2q^2 + 5q + 10. If the firm produces 5 units of output, what is the total \cost of production?

A. ₦125

B. ₦250

Correct C. ₦375

D. ₦500

Correct Answer: C

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Question 2

A country's GDP is ₦100 billion. If the country's population is 20 million, what is the per capita GDP?

A. ₦5,000

B. ₦10,000

C. ₦15,000

Correct D. ₦20,000

Correct Answer: D

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Question 3

A consumer's utility function is given by U(x, y) = 2x + 3y. If the consumer's income is ₦100 and the prices of x and y are ₦5 and ₦10 respectively, what is the consumer's optimal bundle?

Correct A. x = 10, y = 5

B. x = 5, y = 10

C. x = 15, y = 3

D. x = 20, y = 2

Correct Answer: A

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Question 4

A firm's revenue function is given by R(q) = 3q^2 - 2q + 1. If the firm produces 4 units of output, what is the total revenue?

A. ₦25

B. ₦50

C. ₦75

Correct D. ₦100

Correct Answer: D

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Question 5

A country's inflation rate is 5%. If the country's GDP is ₦100 billion, what is the nominal GDP?

A. ₦105 billion

B. ₦110 billion

C. ₦115 billion

Correct D. ₦120 billion

Correct Answer: D

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Question 6

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 = 10 + 3P, find the equilibrium price and quantity.

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 7

A consumer has a utility function given by U(x, y) = 2x + 3y. If the prices of x and y are ₦5 and ₦3 respectively, and the consumer has a budget of ₦20, find the optimal quantities of x and y.

Correct A. x = 4, y = 2

B. x = 3, y = 3

C. x = 2, y = 4

D. x = 1, y = 5

Correct Answer: A

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Question 8

A firm is producing a product with a total revenue of ₦120,000 and a total \cost of ₦80,000. If the firm's profit-maximizing output is 100 units, find the price elasticity of demand.

Correct A. 0.5

B. 1.0

C. 1.5

D. 2.0

Correct Answer: A

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Question 9

A monopolist is producing a product with a demand curve given by Qd = 100 - 2P and a marginal revenue function given by MR = 20 - 2Q. Find the monopolist's profit-maximizing output and price.

Correct A. Q = 40, P = ₦40

B. Q = 30, P = ₦30

C. Q = 20, P = ₦20

D. Q = 10, P = ₦10

Correct Answer: A

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Question 10

A firm is producing a product with a production function given by Q = 2L^2 + 3K. If the firm's output is 100 units and the wage rate is ₦10 per unit of labor, find the firm's optimal level of capital.

Correct A. K = 10

B. K = 20

C. K = 30

D. K = 40

Correct Answer: A

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Question 11

A firm is faced with the following production function: Q = 2L^0.5 * K^0.5. If the price of labor (w) is ₦100 and the price of capital (r) is ₦50, and the firm's budget constraint is wL + rK = ₦5000, what is the optimal level of labor (L) and capital (K) that the firm should employ?

A. L = 10, K = 10

B. L = 20, K = 5

C. L = 5, K = 20

Correct D. L = 15, K = 15

Correct Answer: D

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Question 12

A consumer has the following utility function: U = 2x + 3y. The prices of x and y are ₦20 and ₦30 respectively. The consumer's budget is ₦100. What is the optimal level of x and y that the consumer should consume?

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 13

A firm is faced with the following \cost function: C = 2L + 3K. The price of labor (w) is ₦100 and the price of capital (r) is ₦50. If the firm's revenue function is R = 2L^2 + 3K^2, what is the optimal level of labor (L) and capital (K) that the firm should employ?

A. L = 5, K = 5

B. L = 10, K = 10

Correct C. L = 15, K = 15

D. L = 20, K = 20

Correct Answer: C

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Question 14

A consumer has the following indifference curve: U = 2x + 3y. The prices of x and y are ₦20 and ₦30 respectively. The consumer's budget is ₦100. What is the optimal level of x and y that the consumer should consume?

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 15

A firm is faced with the following production function: Q = 2L^0.5 * K^0.5. If the price of labor (w) is ₦100 and the price of capital (r) is ₦50, and the firm's budget constraint is wL + rK = ₦5000, what is the optimal level of labor (L) and capital (K) that the firm should employ?

A. L = 10, K = 10

B. L = 20, K = 5

C. L = 5, K = 20

Correct D. L = 15, K = 15

Correct Answer: D

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Question 16

Consider a firm operating in a perfectly competitive market with a downward-sloping demand curve. If the firm's marginal revenue (MR) curve intersects its marginal \cost (MC) curve at point E, where MR = MC, and the firm's average total \cost (ATC) curve is U-shaped, what is the likely effect on the firm's profit-maximizing output level if the demand curve shifts to the left?

A. The firm will produce at a higher output level.

Correct B. The firm will produce at a lower output level.

C. The firm's output level will remain unchanged.

D. The firm will experience a decrease in profit.

Correct Answer: B

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Question 17

A country's balance of payments (BOP) accounts are in equilibrium when the current account (CA) is equal to the capital account (KA). If the country's CA is in deficit, what is the likely effect on the exchange rate?

A. The exchange rate will appreciate.

Correct B. The exchange rate will depreciate.

C. The exchange rate will remain unchanged.

D. The exchange rate will fluctuate.

Correct Answer: B

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Question 18

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

A. q = 2

Correct B. q = 5

C. q = 10

D. q = 15

Correct Answer: B

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Question 19

A country's inflation rate is given by the equation π = \( M/P \) * \( ΔM/ΔP \), where π is the inflation rate, M is the money supply, P is the price level, ΔM is the change in money supply, and ΔP is the change in price level. If the money supply increases by 10% and the price level increases by 5%, what is the inflation rate?

A. 5%

B. 10%

Correct C. 15%

D. 20%

Correct Answer: C

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Question 20

A firm's production function is given by Q = 2L^0.5 * K^0.5, where Q is the output, L is the labor input, and K is the capital input. If the firm's labor input increases by 20% and the capital input remains cons\tant, what is the percentage change in output?

A. 10%

Correct B. 20%

C. 30%

D. 40%

Correct Answer: B

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Question 21

A firm's total revenue is given by the equation TR = 100x - 2x^2, where x is the number of units sold. If the firm sells 20 units, what is the marginal revenue?

Correct A. 200

B. 250

C. 300

D. 350

Correct Answer: A

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Question 22

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 ₦1000 and the prices of the two goods are ₦5 and ₦10 respectively, what is the consumer's optimal bundle?

A. x = 10, y = 20

B. x = 20, y = 10

Correct C. x = 15, y = 15

D. x = 25, y = 5

Correct Answer: C

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Question 23

A firm's demand function is given by Qd = 100 - 2P, where Qd is the quantity demanded and P is the price. If the firm's supply function is given by Qs = 2P - 10, what is the equilibrium price?

A. ₦20

Correct B. ₦30

C. ₦40

D. ₦50

Correct Answer: B

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Question 24

A country's balance of payments is given by the equation BOP = X - M, where X is the value of exports and M is the value of imports. If the country's exports are ₦1000 and its imports are ₦800, what is the balance of payments?

Correct A. ₦200

B. ₦300

C. ₦400

D. ₦500

Correct Answer: A

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Question 25

A firm's \cost function is given by C(x) = 100 + 2x, where x is the number of units produced. If the firm produces 20 units, what is the total \cost?

A. ₦220

Correct B. ₦240

C. ₦260

D. ₦280

Correct Answer: B

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