Practice post utme futo economics 2022 Past Questions

Question 1

Consider a firm operating in a perfectly competitive market with a production function Q = 2L^0.5K^0.5. If the firm's current input prices are w = 10 and r = 20, and the current output price is p = 50, what is the firm's optimal input combination?

Correct A. (L, K) = (100, 100)

B. (L, K) = (50, 50)

C. (L, K) = (200, 200)

D. (L, K) = (150, 150)

Correct Answer: A

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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 100 and the prices of x and y are 5 and 10 respectively, what is the consumer's optimal consumption bundle?

Correct A. (x, y) = (20, 10)

B. (x, y) = (15, 15)

C. (x, y) = (10, 20)

D. (x, y) = (25, 5)

Correct Answer: A

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Question 3

Consider a country with a balance of payments account that includes the following transactions: Exports = 100, Imports = 80, Foreign Aid = 20, and Foreign Investment = 30. What is the country's balance of payments surplus?

Correct A. ₦20

B. ₦30

C. ₦40

D. ₦50

Correct Answer: A

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Question 4

A firm's production function is given by Q = 3L^0.5K^0.5. If the firm's current input prices are w = 15 and r = 25, and the current output price is p = 75, what is the firm's optimal input combination?

Correct A. (L, K) = (150, 150)

B. (L, K) = (200, 200)

C. (L, K) = (250, 250)

D. (L, K) = (300, 300)

Correct Answer: A

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Question 5

Consider a country with a tax system that includes a 10% income tax and a 5% sales tax. If a consumer's income is 100 and the consumer sp\ends 80 on goods and services, what is the consumer's total tax liability?

Correct A. ₦15

B. ₦20

C. ₦25

D. ₦30

Correct Answer: A

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Question 6

The Marshall-Lerner condition states that a country will experience an improvement in its balance of payments if the sum of the elasticities of demand for imports and exports exceeds 1. What is the minimum value of the sum of the elasticities of demand for imports and exports for a country to experience an improvement in its balance of payments?

Correct A. 1

B. 0.5

C. 2

D. 3

Correct Answer: A

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Question 7

A monopolistically competitive firm faces a demand curve given by Q = 100 - 2P. The firm's marginal revenue function is given by MR = 50 - 2Q. Find the firm's profit-maximizing price and quantity.

Correct A. P = 40, Q = 30

B. P = 50, Q = 25

C. P = 60, Q = 20

D. P = 70, Q = 15

Correct Answer: A

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Question 8

A country's GDP at market price is ₦100 billion. The country's net indirect tax is ₦10 billion. What is the country's GDP at factor \cost?

Correct A. ₦90 billion

B. ₦95 billion

C. ₦100 billion

D. ₦105 billion

Correct Answer: A

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Question 9

A consumer has a budget of ₦100 and faces the following prices: Q1 = ₦10, Q2 = ₦20, Q3 = ₦30. The consumer's indifference curves are given by U = 2x + 3y. Find the consumer's optimal bundle of goods.

Correct A. (10, 5)

B. (5, 10)

C. (15, 3)

D. (20, 2)

Correct Answer: A

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Question 10

A firm's production function is given by Q = 2L + 3K. The firm's \cost function is given by C = 10L + 20K. Find the firm's profit-maximizing values of L and K.

Correct A. L = 5, K = 10

B. L = 10, K = 5

C. L = 15, K = 20

D. L = 20, K = 15

Correct Answer: A

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Question 11

The demand for a product is given by the equation 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 12

A firm produces two goods, X and Y, u\sing two inputs, labor (L) and capital (K). The production functions are given by X = 2L + 3K and Y = 4L + 2K. If the firm has 10 units of labor and 5 units of capital, what is the total output?

A. ₦100

B. ₦120

Correct C. ₦150

D. ₦180

Correct Answer: C

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Question 13

A consumer has an income of ₦1000 and faces a price of ₦10 for a good. The 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 constraint is given by 10X + 20Y = 1000, what is the consumer's optimal bundle?

Correct A. X = 20, Y = 10

B. X = 30, Y = 15

C. X = 40, Y = 20

D. X = 50, Y = 25

Correct Answer: A

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Question 14

A firm has a production function given by Q = 2L^0.5 + 3K^0.5, where Q is the output, L is the labor, and K is the capital. If the firm has 4 units of labor and 9 units of capital, what is the output?

A. ₦100

B. ₦120

Correct C. ₦150

D. ₦180

Correct Answer: C

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Question 15

A consumer has an income of ₦1000 and faces a price of ₦10 for a good. The 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 constraint is given by 10X + 20Y = 1000, what is the consumer's optimal bundle?

Correct A. X = 20, Y = 10

B. X = 30, Y = 15

C. X = 40, Y = 20

D. X = 50, Y = 25

Correct Answer: A

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Question 16

Calculate the value of the elasticity of demand for a product whose price elasticity is -2 and the percentage change in price is 10%.

Correct A. 0.2

B. 0.5

C. 1.0

D. 2.0

Correct Answer: A

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Question 17

A monopolist faces a demand curve given by Q = 100 - 2P. The marginal revenue function is given by MR = 50 - 2Q. Find the equilibrium price and quantity.

A. (20, 40)

Correct B. (30, 50)

C. (40, 60)

D. (50, 70)

Correct Answer: B

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Question 18

A firm is considering investing in a new project with an initial \cost of ₦100,000 and expected annual profits of ₦20,000 for 5 years. What is the net present value of the project?

A. ₦50,000

Correct B. ₦60,000

C. ₦70,000

D. ₦80,000

Correct Answer: B

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Question 19

The government of Nigeria is considering a policy to increase the price of a commodity by 10%. If the demand curve is given by Q = 100 - 2P and the supply curve is given by Q = 2P - 50, what will be the effect on the equilibrium price and quantity?

Correct A. Increase in price and decrease in quantity

B. Decrease in price and increase in quantity

C. Increase in price and increase in quantity

D. Decrease in price and decrease in quantity

Correct Answer: A

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Question 20

A firm is producing a product with a fixed \cost of ₦50,000 and a variable \cost of ₦10 per unit. If the selling price is ₦20 per unit, what is the break-even point?

A. 2,500 units

Correct B. 5,000 units

C. 7,500 units

D. 10,000 units

Correct Answer: B

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Question 21

The demand for a product is given by the equation Qd = 100 - 2P, where Qd is the quantity demanded and P is the price. If the price elasticity of demand is cons\tant at 0.5, find the price at which the quantity demanded is 50 units.

Correct A. ₦50

B. ₦100

C. ₦200

D. ₦500

Correct Answer: A

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Question 22

A firm produces two goods, X and Y, u\sing two inputs, labor (L) and capital (K). The production functions are given by X = 2L + 3K and Y = 4L + 2K. If the firm has 10 units of labor and 8 units of capital, find the level of production of good X.

Correct A. 44

B. 66

C. 88

D. 100

Correct Answer: A

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Question 23

The following diagram shows the supply and demand curves for a product. If the price elasticity of supply is cons\tant at 2, find the price at which the quantity supplied is 100 units.

A. ₦50

Correct B. ₦100

C. ₦200

D. ₦500

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 value of exports is ₦100 billion and the value of imports is ₦80 billion, find the balance of payments.

Correct A. ₦20 billion

B. ₦40 billion

C. ₦60 billion

D. ₦80 billion

Correct Answer: A

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Question 25

A firm's production function is given by Q = 2L + 3K, where Q is the quantity produced, L is the amount of labor used, and K is the amount of capital used. If the firm has 10 units of labor and 8 units of capital, find the quantity produced.

Correct A. 44

B. 66

C. 88

D. 100

Correct Answer: A

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