Practice post utme lead city university economics 2022 Past Questions

Question 1

Determine the returns to scale for a firm that experiences a 20% increase in all inputs, resulting in a 25% increase in output.

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 2

A consumer's utility function is given by U(x,y) = 2x + 3y. If the consumer's income is ₦1000 and the prices of x and y are ₦5 and ₦3 respectively, determine the consumer's optimal bundle of x and y.

A. (20, 10)

Correct B. (15, 15)

C. (10, 20)

D. (5, 30)

Correct Answer: B

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Question 3

A firm's production function is given by Q = 2L^0.5K^0.5. If the firm's current output is 100 units and the price of labor is ₦10 per unit, determine the firm's optimal level of capital.

A. ₦500

B. ₦1000

Correct C. ₦2000

D. ₦5000

Correct Answer: C

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Question 4

Determine the elasticity of demand for a firm that experiences a 10% decrease in price, resulting in a 5% increase in quantity demanded.

Correct A. Price Elasticity of Demand = 0.5

B. Price Elasticity of Demand = 1

C. Price Elasticity of Demand = 2

D. Price Elasticity of Demand = 5

Correct Answer: A

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Question 5

A country's GDP is ₦10 trillion and its GNP is ₦12 trillion. Determine the country's net factor income from abroad.

A. ₦2 trillion

Correct B. ₦4 trillion

C. ₦6 trillion

D. ₦8 trillion

Correct Answer: B

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Question 6

A monopolist faces a demand curve given by Q = 100 - 2P. The monopolist's marginal \cost is MC = 10. What is the profit-maximizing price and quantity?

A. P = 40, Q = 30

Correct B. P = 50, Q = 25

C. P = 60, Q = 20

D. P = 70, Q = 15

Correct Answer: B

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Question 7

A firm's production function is given by Q = 2L^0.5K^0.5. If the firm hires 16 workers and 9 machines, what is the total output?

A. 80

B. 100

Correct C. 120

D. 140

Correct Answer: C

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Question 8

A consumer's utility function is given by U = 2x + 3y. The consumer's budget constraint is given by 2x + 3y = 12. What is the consumer's optimal consumption bundle?

Correct A. x = 2, y = 4

B. x = 3, y = 3

C. x = 4, y = 2

D. x = 5, y = 1

Correct Answer: A

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Question 9

A country's import demand function is given by M = 100 - 2P. The country's export supply function is given by X = 50 + P. What is the equilibrium price and quantity?

A. P = 20, M = 60, X = 70

B. P = 30, M = 50, X = 80

Correct C. P = 40, M = 40, X = 90

D. P = 50, M = 30, X = 100

Correct Answer: C

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Question 10

A government imposes a tax of ₦10 on a good. The pre-tax price of the good is ₦100. What is the post-tax price?

A. ₦90

Correct B. ₦95

C. ₦100

D. ₦105

Correct Answer: B

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Question 11

A firm's production function is given by Q = 100L^0.5K^0.5, 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 labor?

A. 50 units

Correct B. 100 units

C. 200 units

D. 500 units

Correct Answer: B

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Question 12

A consumer's budget constraint is given by 2x + 3y = ₦100, where x and y are the quantities of two goods. If the consumer's indifference curve is given by u = 2x^0.5y^0.5, what is the consumer's optimal bundle of goods?

A. x = 20, y = 10

B. x = 30, y = 15

Correct C. x = 40, y = 20

D. x = 50, y = 25

Correct Answer: C

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Question 13

A firm's demand function for a good is given by Q = 100 - 2P, where Q is the quantity demanded and P is the price. If the firm's supply function is given by Q = 2P - 100, what is the equilibrium price and quantity?

A. P = ₦50, Q = 50

Correct B. P = ₦75, Q = 75

C. P = ₦100, Q = 100

D. P = ₦125, Q = 125

Correct Answer: B

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Question 14

A government imposes a tax of ₦10 per unit on a good. If the demand function for the good is given by Q = 100 - 2P and the supply function is given by Q = 2P - 100, what is the new equilibrium price and quantity?

A. P = ₦60, Q = 60

B. P = ₦80, Q = 80

Correct C. P = ₦100, Q = 100

D. P = ₦120, Q = 120

Correct Answer: C

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Question 15

A firm's production function is given by Q = 100L^0.5K^0.5, 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 capital?

A. 50 units

B. 100 units

C. 200 units

Correct D. 500 units

Correct Answer: D

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Question 16

Determine the equilibrium price and quantity of a competitive market, given the following supply and demand equations: Qd = 100 - 2P, Qs = 50 + 3P.

A. \( P = 20, Q = 60 \)

Correct B. \( P = 30, Q = 50 \)

C. \( P = 40, Q = 40 \)

D. \( P = 50, Q = 30 \)

Correct Answer: B

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Question 17

A firm has a production function Q = 2L^2 + 3K, where L is labor and K is capital. If the firm's \cost function is C = 10L + 20K, determine the profit-maximizing level of labor and capital.

Correct A. \( L = 5, K = 10 \)

B. \( L = 10, K = 5 \)

C. \( L = 15, K = 2 \)

D. \( L = 20, K = 1 \)

Correct Answer: A

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Question 18

A country's balance of payments account is given by the following equations: X = 100 + 2Y, M = 50 + 3Y, where X is exports and M is imports. Determine the equilibrium value of Y.

A. \( Y = 20 \)

Correct B. \( Y = 30 \)

C. \( Y = 40 \)

D. \( Y = 50 \)

Correct Answer: B

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Question 19

A firm has a demand function Qd = 100 - 2P and a supply function Qs = 50 + 3P. Determine the deadweight loss of a tax of ₦10 per unit.

A. ₦100

B. ₦200

Correct C. ₦300

D. ₦400

Correct Answer: C

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Question 20

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. Determine the value of GDP if C = ₦1000, I = ₦200, G = ₦300, X = ₦400, and M = ₦500.

A. ₦1500

B. ₦2000

C. ₦2500

Correct D. ₦3000

Correct Answer: D

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Question 21

A firm's demand curve is given by Qd = 100 - 2P, where Qd is the quantity demanded and P is the price. If the price elasticity of demand is 0.5, what is the price at which the quantity demanded is 60?

A. ₦20

Correct B. ₦30

C. ₦40

D. ₦50

Correct Answer: B

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Question 22

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 = 100, what is the optimal bundle of goods that maximizes utility?

Correct A. (20, 10)

B. (15, 15)

C. (10, 20)

D. (5, 25)

Correct Answer: A

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Question 23

A firm is considering two different production processes. Process A has a fixed \cost of ₦1000 and a variable \cost of ₦10 per unit, while Process B has a fixed \cost of ₦500 and a variable \cost of ₦20 per unit. If the firm produces 100 units, what is the total \cost of production for each process?

A. ₦1500

Correct B. ₦1200

C. ₦1800

D. ₦2000

Correct Answer: B

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Question 24

A market is in equilibrium at a price of ₦20 and a quantity of 100 units. If the demand for the good increases by 20%, what is the new equilibrium price?

A. ₦24

B. ₦25

C. ₦26

Correct D. ₦28

Correct Answer: D

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Question 25

A firm has a production function given by Q = 2L + 3K, where Q is the quantity produced, L is the labor input, and K is the capital input. If the firm has 10 units of labor and 5 units of capital, what is the quantity produced?

A. 20

B. 25

Correct C. 30

D. 35

Correct Answer: C

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