Practice Post UTME KSU economics 2019 Past Questions

Question 1

A firm's total revenue function is given by $ TR = 100x - 2x^2 $, where ( x ) is the number of units sold. If the firm's marginal revenue function is $ MR = 100 - 4x $, what is the value of ( x ) at which the firm's total revenue is maximized?

A. 25

Correct B. 50

C. 75

D. 100

Correct Answer: B

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Question 2

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

A. ₦10 billion

Correct B. ₦20 billion

C. ₦30 billion

D. ₦40 billion

Correct Answer: B

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Question 3

A consumer's utility function is given by ( U(x, y) = 2x + 3y ), where ( x ) is the number of units of good X consumed and ( y ) is the number of units of good Y consumed. If the consumer's budget constraint is given by $ 2x + 3y = 100 $, what is the value of ( x ) when the consumer is at the point of indifference between good X and good Y?

A. 20

B. 30

Correct C. 40

D. 50

Correct Answer: C

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Question 4

A firm's production function is given by $ Q = 2L^0.5K^0.5 $, where ( Q ) is the quantity produced, ( L ) is the amount of labor used, and ( K ) is the amount of capital used. If the firm's \cost function is given by $ C = 100L + 200K $, what is the value of ( L ) when the firm's marginal product of labor is equal to its wage?

A. 10

Correct B. 20

C. 30

D. 40

Correct Answer: B

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Question 5

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

A. ₦10 billion

Correct B. ₦20 billion

C. ₦30 billion

D. ₦40 billion

Correct Answer: B

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Question 6

A monopolist faces a demand curve given by Q = 100 - 2P and a \cost function C(Q) = 2Q^2 + 10Q. Find the profit-maximizing quantity and price.

A. Q = 20, P = 40

B. Q = 30, P = 50

Correct C. Q = 40, P = 60

D. Q = 50, P = 70

Correct Answer: C

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Question 7

A firm produces two goods, A and B, u\sing two inputs, labor and capital. The production functions are given by Q_A = 2L^0.5K^0.5 and Q_B = 3L^0.7K^0.3. If the firm has 100 units of labor and 50 units of capital, find the optimal allocation of labor and capital between the two goods.

A. L_A = 50, L_B = 50, K_A = 25, K_B = 25

Correct B. L_A = 75, L_B = 25, K_A = 37.5, K_B = 12.5

C. L_A = 100, L_B = 0, K_A = 50, K_B = 0

D. L_A = 0, L_B = 100, K_A = 0, K_B = 50

Correct Answer: B

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Question 8

The Nigerian government is considering a policy to increase agricultural production. The policy involves providing subsidies to farmers. If the demand for agricultural products is given by Q = 100 - 2P and the supply function is Q = 2P + 10, find the price and quantity of agricultural products after the policy is implemented.

A. P = 20, Q = 40

B. P = 30, Q = 50

Correct C. P = 40, Q = 60

D. P = 50, Q = 70

Correct Answer: C

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Question 9

A firm has a production function Q = 2L^0.5K^0.5 and a \cost function C(Q) = 2Q^2 + 10Q. If the firm has 100 units of labor and 50 units of capital, find the profit-maximizing quantity and price.

A. Q = 20, P = 40

B. Q = 30, P = 50

Correct C. Q = 40, P = 60

D. Q = 50, P = 70

Correct Answer: C

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Question 10

The Nigerian government is considering a policy to increase industrial production. The policy involves providing subsidies to industries. If the demand for industrial products is given by Q = 100 - 2P and the supply function is Q = 2P + 10, find the price and quantity of industrial products after the policy is implemented.

A. P = 20, Q = 40

B. P = 30, Q = 50

Correct C. P = 40, Q = 60

D. P = 50, Q = 70

Correct Answer: C

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Question 11

Consider a firm operating in a perfectly competitive market with a production function given by Q = 2L^0.5K^0.5. If the firm's current input prices are w = ₦100 and r = ₦200, and it currently employs 4 units of labor and 9 units of capital, calculate the firm's current total \cost of production.

A. ₦1,600

Correct B. ₦1,800

C. ₦2,000

D. ₦2,200

Correct Answer: B

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Question 12

A country's GDP is ₦1,500 billion, its imports are ₦300 billion, and its exports are ₦400 billion. Calculate the country's net foreign income.

Correct A. ₦100 billion

B. ₦200 billion

C. ₦300 billion

D. ₦400 billion

Correct Answer: A

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Question 13

A government plans to implement a tax on all goods and services to raise revenue. If the tax rate is 10% and the total value of goods and services is ₦10,000, calculate the total tax revenue.

A. ₦1,000

Correct B. ₦1,500

C. ₦2,000

D. ₦2,500

Correct Answer: B

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Question 14

A firm's production function is given by Q = 3L^0.7K^0.3. If the firm currently employs 8 units of labor and 16 units of capital, and the input prices are w = ₦150 and r = ₦300, calculate the firm's current total \cost of production.

A. ₦3,600

B. ₦4,000

Correct C. ₦4,400

D. ₦4,800

Correct Answer: C

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Question 15

A country's GNP is ₦2,500 billion, its GDP is ₦2,300 billion, and its net factor income from abroad is ₦200 billion. Calculate the country's net national income.

A. ₦2,600 billion

B. ₦2,700 billion

Correct C. ₦2,800 billion

D. ₦2,900 billion

Correct Answer: C

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Question 16

Suppose a firm's demand function is given by Q = 100 - 2P and its supply function is given by Q = 2P + 10. Find the equilibrium price and quantity u\sing the supply and demand model.

A. ₦50, 50 units

Correct B. ₦75, 25 units

C. ₦100, 0 units

D. ₦125, 100 units

Correct Answer: B

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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 consumed. If the consumer's budget is ₦100 and the prices of the two goods are ₦5 and ₦10 respectively, find the optimal quantities of the two goods that maximize the consumer's utility.

Correct A. x = 10, y = 5

B. x = 5, y = 10

C. x = 15, y = 0

D. x = 0, y = 15

Correct Answer: A

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Question 18

A firm's total revenue function is given by TR = 2x^2 + 5x, where x is the quantity of the good produced. Find the marginal revenue function and the average revenue function.

Correct A. MR = 4x + 5, AR = 2 + 5/x

B. MR = 4x - 5, AR = 2 - 5/x

C. MR = 4x + 5, AR = 2 - 5/x

D. MR = 4x - 5, AR = 2 + 5/x

Correct Answer: A

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Question 19

A country's money supply is given by M = 1000 + 2Y, where Y is the national income. If the country's velocity of money is 5, find the equilibrium price level and the national income.

A. P = 10, Y = ₦5000

Correct B. P = 20, Y = ₦10000

C. P = 5, Y = ₦2500

D. P = 15, Y = ₦7500

Correct Answer: B

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Question 20

A firm's \cost function is given by C = 2x^2 + 5x, where x is the quantity of the good produced. Find the marginal \cost function and the average \cost function.

Correct A. MC = 4x + 5, AC = 2 + 5/x

B. MC = 4x - 5, AC = 2 - 5/x

C. MC = 4x + 5, AC = 2 - 5/x

D. MC = 4x - 5, AC = 2 + 5/x

Correct Answer: A

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Question 21

U\sing the Marshall-Lerner condition, determine the effect of a 10% devaluation of the naira on the balance of payments of Nigeria, assuming the price elasticity of demand for exports is 2 and the price elasticity of demand for imports is 1.5.

A. The devaluation will lead to an improvement in the balance of payments.

Correct B. The devaluation will lead to a deterioration in the balance of payments.

C. The devaluation will have no effect on the balance of payments.

D. The devaluation will lead to a decrease in the trade deficit.

Correct Answer: B

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Question 22

A firm has a total revenue function of $ TR = 100x - 2x^2 $ and a total \cost function of $ TC = 50x + 10x^2 $. Determine the profit-maximizing level of output.

A. x = 5

Correct B. x = 10

C. x = 15

D. x = 20

Correct Answer: B

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Question 23

A consumer has a utility function of $ U = 2x + 3y $ and budget constraint of $ 2x + 3y = 30 $. Determine the optimal consumption bundle.

Correct A. x = 5, y = 10

B. x = 10, y = 5

C. x = 15, y = 0

D. x = 0, y = 20

Correct Answer: A

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Question 24

A central bank has a money supply function of $ M = 1000 + 10B $ and an interest rate function of $ i = 2 + 0.1B $. Determine the equilibrium level of the money supply.

A. B = 100

Correct B. B = 200

C. B = 300

D. B = 400

Correct Answer: B

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Question 25

A government has a tax function of $ T = 100 + 0.1Y $ and a government exp\enditure function of $ G = 200 + 0.2Y $. Determine the equilibrium level of government revenue.

A. Y = 1000

Correct B. Y = 2000

C. Y = 3000

D. Y = 4000

Correct Answer: B

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