Practice Post UTME CALEB UNIVERSITY economics 2024 Past Questions

Question 1

The Marshall-Lerner condition states that a country will experience an improvement in its balance of payments if the sum of the percentage changes in its export and import prices exceeds a certain threshold. What is the name of this threshold?

A. The Marshall-Lerner condition

B. The J-curve effect

C. The balance of payments equilibrium

Correct D. The trade deficit threshold

Correct Answer: D

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Question 2

A firm's production function is given by Q = 2L^0.5K^0.5. If the firm's labor and capital inputs are increased by 20% and 15% respectively, what is the percentage change in output?

A. -5%

B. 0%

Correct C. 5%

D. 10%

Correct Answer: C

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Question 3

A country's GDP is given by the equation Y = C + I + G + \( X - M \). If the country's consumption, investment, government sp\ending, exports, and imports are ₦100 billion, ₦20 billion, ₦30 billion, ₦50 billion, and ₦40 billion respectively, what is the country's GDP?

A. ₦140 billion

B. ₦150 billion

Correct C. ₦160 billion

D. ₦170 billion

Correct Answer: C

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Question 4

A firm's demand for labor is given by the equation L = 100 - 2P_L, where P_L is the wage rate. If the wage rate is ₦50 per hour, what is the firm's demand for labor?

A. 50 hours

Correct B. 75 hours

C. 100 hours

D. 125 hours

Correct Answer: B

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Question 5

A country's balance of payments is given by the equation BOP = X - M + \( F - I \). If the country's exports, imports, foreign investment, and domestic investment are ₦100 billion, ₦80 billion, ₦20 billion, and ₦30 billion respectively, what is the country's balance of payments?

A. ₦20 billion

B. ₦30 billion

Correct C. ₦40 billion

D. ₦50 billion

Correct Answer: C

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Question 6

A firm operating in a perfectly competitive market produces a good with the following \cost and revenue functions: C(q) = 10q + 100 and R(q) = 20q. Find the profit-maximizing quantity and price of the good.

Correct A. q = 5, P = 30

B. q = 10, P = 20

C. q = 15, P = 15

D. q = 20, P = 10

Correct Answer: A

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Question 7

A monopolist faces a demand curve given by P = 100 - 2q and has a \cost function C(q) = 50q + 100. Find the monopolist's profit-maximizing quantity and price.

Correct A. q = 25, P = 50

B. q = 30, P = 40

C. q = 35, P = 30

D. q = 40, P = 20

Correct Answer: A

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Question 8

A firm's production function is given by Q = 2L^0.5K^0.5. If the firm's current input levels are L = 16 and K = 9, find the marginal product of labor and the marginal product of capital.

Correct A. MP_L = 0.1875, MP_K = 0.25

B. MP_L = 0.25, MP_K = 0.1875

C. MP_L = 0.1875, MP_K = 0.125

D. MP_L = 0.125, MP_K = 0.1875

Correct Answer: A

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Question 9

A firm's demand function is given by Q = 100 - 2P. If the firm's current price is P = 20, find the consumer surplus.

Correct A. ₦2500

B. ₦2000

C. ₦3000

D. ₦4000

Correct Answer: A

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Question 10

A firm's production function is given by Q = 2L^0.5K^0.5. If the firm's current input levels are L = 25 and K = 16, find the returns to scale.

A. Increa\sing Returns to Scale

B. Decrea\sing Returns to Scale

Correct C. Cons\tant Returns to Scale

D. No Returns to Scale

Correct Answer: C

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Question 11

A firm's production function is given by Q = 2L^\( 1/2 \)K^\( 1/2 \), where Q is output, L is labor, and K is capital. If the price of labor is ₦100 per unit and the price of capital is ₦200 per unit, and if the firm's budget constraint is given by 100L + 200K = ₦100,000, what is the firm's optimal level of output?

A. 50 units

B. 75 units

Correct C. 100 units

D. 125 units

Correct Answer: C

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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 prices of the two goods are ₦50 and ₦75 respectively, and if the consumer's budget constraint is given by 50x + 75y = ₦150, what is the consumer's optimal bundle of goods?

A. x = 3, y = 2

Correct B. x = 2, y = 3

C. x = 4, y = 1

D. x = 1, y = 4

Correct Answer: B

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Question 13

A country's GDP is given by the equation GDP = C + I + G + \( X - M \), where C is consumption, I is investment, G is government sp\ending, X is exports, and M is imports. If the country's GDP is ₦5 trillion, and if the values of C, I, G, X, and M are ₦1.5 trillion, ₦500 billion, ₦1 trillion, ₦1.2 trillion, and ₦800 billion respectively, what is the value of the country's net exports?

A. ₦200 billion

B. ₦300 billion

C. ₦400 billion

Correct D. ₦500 billion

Correct Answer: D

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Question 14

A firm's demand function is given by Q = 100 - 2P, where Q is quantity demanded and P is price. If the firm's marginal revenue function is given by MR = 200 - 2Q, what is the firm's optimal price?

A. ₦50

B. ₦75

Correct C. ₦100

D. ₦125

Correct Answer: C

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Question 15

A consumer's indifference curve is given by the equation U = 2x + 3y, where x and y are the quantities of two goods consumed. If the consumer's budget constraint is given by 50x + 75y = ₦150, what is the consumer's optimal bundle of goods?

A. x = 3, y = 2

Correct B. x = 2, y = 3

C. x = 4, y = 1

D. x = 1, y = 4

Correct Answer: B

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Question 16

A country's GNP is given by the equation GNP = GDP + (net factor income from abroad). If the country's GDP is ₦5 trillion, and if the net factor income from abroad is ₦200 billion, what is the country's GNP?

Correct A. ₦5.2 trillion

B. ₦5.3 trillion

C. ₦5.4 trillion

D. ₦5.5 trillion

Correct Answer: A

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Question 17

A firm's production function is given by Q = 2L^\( 1/2 \)K^\( 1/2 \), where Q is output, L is labor, and K is capital. If the price of labor is ₦100 per unit and the price of capital is ₦200 per unit, and if the firm's budget constraint is given by 100L + 200K = ₦100,000, what is the firm's optimal level of output?

A. 50 units

B. 75 units

Correct C. 100 units

D. 125 units

Correct Answer: C

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Question 18

A consumer's utility function is given by U = 2x + 3y, where x and y are the quantities of two goods consumed. If the prices of the two goods are ₦50 and ₦75 respectively, and if the consumer's budget constraint is given by 50x + 75y = ₦150, what is the consumer's optimal bundle of goods?

A. x = 3, y = 2

B. x = 2, y = 3

C. x = 4, y = 1

D. x = 1, y = 4

Correct Answer: VIEW ANSWER

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Question 19

A firm's production function is given by Q = 2L^0.5 + 3K^0.5, where L is labor and K is capital. If the firm's current labor and capital inputs are L = 16 and K = 9, calculate the firm's marginal product of labor (MPL).

A. 2

B. 4

Correct C. 6

D. 8

Correct Answer: C

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Question 20

A consumer's budget constraint is given by P_x x + P_y y = I, where P_x and P_y are the prices of good x and good y, respectively, and I is the consumer's income. If the consumer's income is I = 100, and the prices of good x and good y are P_x = 2 and P_y = 3, respectively, calculate the consumer's optimal consumption bundle (x, y).

A. x = 20, y = 10

Correct B. x = 30, y = 15

C. x = 40, y = 20

D. x = 50, y = 25

Correct Answer: B

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Question 21

A firm's total revenue (TR) is given by TR = 2Q^2, where Q is the firm's output. If the firm's current output is Q = 5, calculate the firm's total revenue.

A. 50

B. 100

Correct C. 150

D. 200

Correct Answer: C

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Question 22

A consumer's indifference curve is given by U(x, y) = 2x + 3y, where x and y are the consumer's consumption of good x and good y, respectively. If the consumer's current consumption bundle is (x, y) = (10, 5), calculate the consumer's marginal rate of substitution (MRS).

A. 1

Correct B. 2

C. 3

D. 4

Correct Answer: B

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Question 23

A firm's production function is given by Q = 2L^0.5 + 3K^0.5, where L is labor and K is capital. If the firm's current labor and capital inputs are L = 16 and K = 9, calculate the firm's total product.

A. 20

B. 30

Correct C. 40

D. 50

Correct Answer: C

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Question 24

A consumer's budget constraint is given by P_x x + P_y y = I, where P_x and P_y are the prices of good x and good y, respectively, and I is the consumer's income. If the consumer's income is I = 100, and the prices of good x and good y are P_x = 2 and P_y = 3, respectively, calculate the consumer's optimal consumption bundle (x, y).

A. x = 20, y = 10

Correct B. x = 30, y = 15

C. x = 40, y = 20

D. x = 50, y = 25

Correct Answer: B

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Question 25

A firm's total revenue (TR) is given by TR = 2Q^2, where Q is the firm's output. If the firm's current output is Q = 5, calculate the firm's total revenue.

A. 50

B. 100

Correct C. 150

D. 200

Correct Answer: C

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