Practice post utme bsu economics 2023 Past Questions

Question 1

Consider a firm operating in a perfectly competitive market. If the firm's marginal revenue (MR) curve intersects its marginal \cost (MC) curve at point E, where MR = MC, and the firm is currently producing at point D, which of the following statements is true?

A. The firm is producing at its optimal level of output.

B. The firm is producing at a level of output where MR > MC.

C. The firm is producing at a level of output where MR < MC.

Correct D. The firm is producing at a level of output where MR = MC.

Correct Answer: D

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Question 2

A consumer's indifference curve for two goods, X and Y, is given by the equation U = 2X + 3Y. If the consumer's income is ₦1000 and the prices of X and Y are ₦5 and ₦3 respectively, what is the consumer's optimal bundle of X and Y?

Correct A. \( X = 40, Y = 30 \)

B. \( X = 30, Y = 40 \)

C. \( X = 20, Y = 50 \)

D. \( X = 50, Y = 20 \)

Correct Answer: A

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Question 3

A firm's production function is given by Q = 2L^\( 1/2 \)K^\( 1/2 \), where Q is the output, L is the labor and K is the capital. If the firm wants to increase its output by 10%, what percentage increase in labor and capital is required?

A. 5% increase in labor and 5% increase in capital

Correct B. 10% increase in labor and 10% increase in capital

C. 15% increase in labor and 15% increase in capital

D. 20% increase in labor and 20% increase in capital

Correct Answer: B

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Question 4

A government wants to reduce the budget deficit by increa\sing taxes. If the government increases the tax rate by 10% and the tax base remains cons\tant, what will be the effect on the tax revenue?

A. Tax revenue will decrease by 10%

Correct B. Tax revenue will increase by 10%

C. Tax revenue will remain cons\tant

D. Tax revenue will increase by 20%

Correct Answer: B

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Question 5

A consumer's utility function is given by U = 2X + 3Y, where X and Y are the quantities of two goods. If the consumer's income is ₦1000 and the prices of X and Y are ₦5 and ₦3 respectively, what is the consumer's optimal bundle of X and Y?

Correct A. \( X = 40, Y = 30 \)

B. \( X = 30, Y = 40 \)

C. \( X = 20, Y = 50 \)

D. \( X = 50, Y = 20 \)

Correct Answer: A

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Question 6

Consider a firm operating in a perfectly competitive market with a given production function Q = 2L^0.5 * K^0.5. If the price of the good is P = 10 and the wage rate is W = 5, calculate the optimal level of labor (L) and capital (K) u\sing the first-order conditions for profit maximization.

Correct A. L = 4, K = 16

B. L = 16, K = 4

C. L = 2, K = 8

D. L = 8, K = 2

Correct Answer: A

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Question 7

A government imposes a tax on a firm's output, which increases the firm's \cost of production. U\sing the following diagram, identify the new equilibrium price and quantity of the good.

Correct A. P = 15, Q = 10

B. P = 20, Q = 5

C. P = 25, Q = 0

D. P = 30, Q = 15

Correct Answer: A

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Question 8

A central bank implements a monetary policy by increa\sing the reserve requirement for commercial banks. U\sing the following diagram, identify the new equilibrium interest rate and money supply.

Correct A. i = 5%, M = 1000

B. i = 10%, M = 500

C. i = 15%, M = 2000

D. i = 20%, M = 3000

Correct Answer: A

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Question 9

A firm's production function is given by Q = 2L^0.5 * K^0.5. If the price of the good is P = 10 and the wage rate is W = 5, calculate the optimal level of labor (L) and capital (K) u\sing the first-order conditions for profit maximization.

Correct A. L = 4, K = 16

B. L = 16, K = 4

C. L = 2, K = 8

D. L = 8, K = 2

Correct Answer: A

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Question 10

A government imposes a tax on a firm's output, which increases the firm's \cost of production. U\sing the following diagram, identify the new equilibrium price and quantity of the good.

Correct A. P = 15, Q = 10

B. P = 20, Q = 5

C. P = 25, Q = 0

D. P = 30, Q = 15

Correct Answer: A

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Question 11

A firm's production function is given by Q = 2L^0.5H^0.5, where Q is output, L is labor, and H is capital. If the firm's current labor and capital inputs are L = 4 and H = 9, respectively, what is the marginal product of labor (MPL) when L = 5?

A. 1

Correct B. 2

C. 3

D. 4

Correct Answer: B

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Question 12

A consumer's utility function is given by U = 2x + 3y, where x and y are the quantities of two goods consumed. If the consumer's budget is ₦100 and the prices of the two goods are ₦5 and ₦10, respectively, what is the consumer's optimal bundle of goods?

Correct A. x = 10, y = 5

B. x = 5, y = 10

C. x = 15, y = 0

D. x = 0, y = 10

Correct Answer: A

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Question 13

A country's balance of payments (BOP) is given by the following equation: BOP = X - M, where X is exports and M is imports. If the country's exports are ₦200 and imports are ₦150, what is the country's balance of payments?

Correct A. ₦50

B. ₦100

C. ₦150

D. ₦200

Correct Answer: A

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Question 14

A firm's \cost function is given by C = 2L + 3H, where C is \cost, L is labor, and H is capital. If the firm's current labor and capital inputs are L = 4 and H = 9, respectively, what is the firm's total \cost?

A. ₦50

B. ₦100

Correct C. ₦150

D. ₦200

Correct Answer: C

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Question 15

A consumer's indifference curve is given by the following equation: U = 2x + 3y, where x and y are the quantities of two goods consumed. If the consumer's budget is ₦100 and the prices of the two goods are ₦5 and ₦10, respectively, what is the consumer's optimal bundle of goods?

Correct A. x = 10, y = 5

B. x = 5, y = 10

C. x = 15, y = 0

D. x = 0, y = 10

Correct Answer: A

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Question 16

A firm's demand function is given by Q = 100 - 2P + 3Y, where Q is the quantity demanded, P is the price, and Y is the income. If the price elasticity of demand is -2, what is the cross-price elasticity of demand with respect to income?

Correct A. 6

B. 4

C. 8

D. 10

Correct Answer: A

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Question 17

A consumer's utility function is given by U = 2x + 3y, where x and y are the quantities of two goods. If the consumer's budget constraint is 10x + 5y = 50, what is the consumer's optimal bundle of goods?

Correct A. x = 2, y = 4

B. x = 4, y = 2

C. x = 3, y = 3

D. x = 1, y = 1

Correct Answer: A

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Question 18

A government is considering a tax on a particular good. The supply function for the good is given by Q = 100 + 2P, where Q is the quantity supplied and P is the price. If the government imposes a tax of 10 on the good, what is the new supply function?

Correct A. Q = 100 + 2P - 10

B. Q = 100 + 2P + 10

C. Q = 100 + 2P - 20

D. Q = 100 + 2P + 20

Correct Answer: A

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Question 19

A firm's demand function is given by Q = 100 - 2P + 3Y, where Q is the quantity demanded, P is the price, and Y is the income. If the price elasticity of demand is -2, what is the cross-price elasticity of demand with respect to income?

Correct A. 6

B. 4

C. 8

D. 10

Correct Answer: A

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Question 20

A consumer's utility function is given by U = 2x + 3y, where x and y are the quantities of two goods. If the consumer's budget constraint is 10x + 5y = 50, what is the consumer's optimal bundle of goods?

Correct A. x = 2, y = 4

B. x = 4, y = 2

C. x = 3, y = 3

D. x = 1, y = 1

Correct Answer: A

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Question 21

A government is considering a tax on a particular good. The supply function for the good is given by Q = 100 + 2P, where Q is the quantity supplied and P is the price. If the government imposes a tax of 10 on the good, what is the new supply function?

Correct A. Q = 100 + 2P - 10

B. Q = 100 + 2P + 10

C. Q = 100 + 2P - 20

D. Q = 100 + 2P + 20

Correct Answer: A

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Question 22

A firm's demand function is given by Q = 100 - 2P + 3Y, where Q is the quantity demanded, P is the price, and Y is the income. If the price elasticity of demand is -2, what is the cross-price elasticity of demand with respect to income?

Correct A. 6

B. 4

C. 8

D. 10

Correct Answer: A

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Question 23

A consumer's utility function is given by U = 2x + 3y, where x and y are the quantities of two goods. If the consumer's budget constraint is 10x + 5y = 50, what is the consumer's optimal bundle of goods?

Correct A. x = 2, y = 4

B. x = 4, y = 2

C. x = 3, y = 3

D. x = 1, y = 1

Correct Answer: A

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Question 24

A firm's \cost function is given by C(x) = 2x^2 + 10x + 5. If the firm produces 25 units, what is the total \cost?

A. 625

Correct B. 750

C. 875

D. 1000

Correct Answer: B

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Question 25

A country's GDP is 100 billion naira. If the country's population is 200 million, what is the per capita GDP?

A. 500

B. 750

C. 1000

Correct D. 1250

Correct Answer: D

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POST UTME BSU 2023 Economics | Objective

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