Practice Post UTME JOSEPH AYO BABALOLA UNIVERSITY economics 2024 Past Questions

Question 1

Consider a firm operating in a perfectly competitive market with a production function Q = 2L^$ 1/2 $H^$ 1/2 $. If the firm's current input prices are w_L = 10 and w_H = 20, and the current output price is p = 50, calculate the firm's optimal input bundle (L, H) u\sing the Lagrange method. What is the value of the Lagrange multiplier?

Correct A. $ lambda = 5 $

B. $ lambda = 10 $

C. $ lambda = 15 $

D. $ lambda = 20 $

Correct Answer: A

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Question 2

A country's GDP is given by the equation Y = C + I + G + $ X - M $. If the country's current GDP is 100 billion, consumption is 30 billion, investment is 20 billion, government sp\ending is 15 billion, exports are 25 billion, and imports are 10 billion, calculate the country's savings rate.

Correct A. ( 0.20 )

B. ( 0.25 )

C. ( 0.30 )

D. ( 0.35 )

Correct Answer: A

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Question 3

Consider a firm with a production function Q = 3L^$ 1/3 $H^$ 2/3 $. If the firm's current input prices are w_L = 15 and w_H = 30, and the current output price is p = 60, calculate the firm's optimal input bundle (L, H) u\sing the Lagrange method. What is the value of the Lagrange multiplier?

A. $ lambda = 10 $

Correct B. $ lambda = 15 $

C. $ lambda = 20 $

D. $ lambda = 25 $

Correct Answer: B

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Question 4

A country's inflation rate is given by the equation π = $ P - P^* $ / P^*, where P is the current price level and P^* is the base price level. If the current price level is 100 and the base price level is 90, calculate the country's inflation rate.

Correct A. ( 0.11 )

B. ( 0.12 )

C. ( 0.13 )

D. ( 0.14 )

Correct Answer: A

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Question 5

Consider a firm with a production function Q = 2L^$ 1/2 $H^$ 1/2 $. If the firm's current input prices are w_L = 10 and w_H = 20, and the current output price is p = 50, calculate the firm's optimal input bundle (L, H) u\sing the Lagrange method. What is the value of the Lagrange multiplier?

Correct A. $ lambda = 5 $

B. $ lambda = 10 $

C. $ lambda = 15 $

D. $ lambda = 20 $

Correct Answer: A

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Question 6

A firm's demand curve is given by Q = 100 - 2P, where Q is the quantity demanded and P is the price. If the price elasticity of demand is -2, what is the percentage change in quantity demanded when the price increases by 10%?

Correct A. -20%

B. -10%

C. 0%

D. 10%

Correct Answer: A

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Question 7

A country's balance of payments account is given by the following equation: BOP = $ X - M $ + $ F - I $, where BOP is the balance of payments, X is exports, M is imports, F is foreign investment, and I is domestic investment. If the country's exports are $100 billion, imports are $120 billion, foreign investment is $50 billion, and domestic investment is $30 billion, what is the balance of payments?

Correct A. -$20 billion

B. -$10 billion

C. $10 billion

D. $20 billion

Correct Answer: A

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Question 8

A government imposes a tax on a firm's output, cau\sing the firm's supply curve to shift to the left. If the firm's original supply curve was Q = 100 + 2P and the tax is $5 per unit, what is the new supply curve?

Correct A. Q = 100 + 2P - 5

B. Q = 100 + 2P + 5

C. Q = 100 - 2P - 5

D. Q = 100 - 2P + 5

Correct Answer: A

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Question 9

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 constraint is 2x + 3y = $100 and the price of good x is $5, what is the optimal quantity of good x?

A. 10 units

Correct B. 15 units

C. 20 units

D. 25 units

Correct Answer: B

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Question 10

A firm's demand curve is given by Q = 100 - 2P, where Q is the quantity demanded and P is the price. If the price elasticity of demand is -2, what is the percentage change in quantity demanded when the price increases by 10%?

Correct A. -20%

B. -10%

C. 0%

D. 10%

Correct Answer: A

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Question 11

A country's balance of payments is in equilibrium when its current account and capital account are equal. However, if the country experiences a trade deficit, it may lead to a decrease in its foreign exchange reserves. Which of the following policies can help to reduce the trade deficit and increase foreign exchange reserves?

Correct A. Devaluation of the currency

B. Increase in government sp\ending

C. Reduction in import tariffs

D. Increase in interest rates

Correct Answer: A

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Question 12

A monopolistically competitive firm faces a downward-sloping demand curve. If the firm increases its price, what will happen to its total revenue?

A. Total revenue will increase

Correct B. Total revenue will decrease

C. Total revenue will remain the same

D. Total revenue will increase, then decrease

Correct Answer: B

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Question 13

A country's GDP can be calculated u\sing the following formula: GDP = C + I + G + $ X - M $. If the country's consumption is ₦100 billion, investment is ₦50 billion, government sp\ending is ₦75 billion, exports are ₦200 billion, and imports are ₦150 billion, what is the country's GDP?

A. ₦425 billion

B. ₦475 billion

Correct C. ₦525 billion

D. ₦575 billion

Correct Answer: C

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Question 14

A firm is considering investing in a new project. The project has a \cost of ₦100 million and is expected to generate a revenue of ₦120 million. However, there is a 20% chance that the project will fail and result in a loss of ₦50 million. What is the expected value of the project?

A. ₦10 million

Correct B. ₦20 million

C. ₦30 million

D. ₦40 million

Correct Answer: B

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Question 15

A monopolist faces a demand curve with the following equation: Qd = 100 - 2P. If the firm's marginal \cost is ₦20, what is the optimal price and quantity?

Correct A. P = ₦40, Q = 30

B. P = ₦30, Q = 40

C. P = ₦20, Q = 50

D. P = ₦10, Q = 60

Correct Answer: A

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Question 16

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 the current output price is p = ₦500, calculate the firm's maximum profit.

A. ₦10,000

Correct B. ₦20,000

C. ₦30,000

D. ₦40,000

Correct Answer: B

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Question 17

A government plans to implement a new tax policy to reduce income inequality. The tax rate is set at 20% for income up to ₦500,000 and 30% for income above ₦500,000. If a person has an income of ₦750,000, calculate the amount of tax they will pay.

A. ₦15,000

Correct B. ₦18,000

C. ₦20,000

D. ₦22,000

Correct Answer: B

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Question 18

A country's balance of payments account shows a trade deficit of ₦100 billion and a current account deficit of ₦50 billion. If the country's foreign exchange reserves are ₦200 billion, calculate the country's net foreign assets.

Correct A. ₦150 billion

B. ₦100 billion

C. ₦50 billion

D. ₦0 billion

Correct Answer: A

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Question 19

A firm faces a demand curve given by Q = 100 - 2P. If the firm's marginal \cost is MC = ₦50, calculate the firm's optimal price and quantity.

A. P = ₦40, Q = 60

B. P = ₦30, Q = 70

Correct C. P = ₦20, Q = 80

D. P = ₦10, Q = 90

Correct Answer: C

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Question 20

A monopoly firm faces a demand curve given by Q = 100 - 2P. If the firm's marginal \cost is MC = ₦50, calculate the firm's optimal price and quantity.

A. P = ₦40, Q = 60

B. P = ₦30, Q = 70

Correct C. P = ₦20, Q = 80

D. P = ₦10, Q = 90

Correct Answer: C

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Question 21

Consider a small open economy with a fixed exchange rate. The country's trade balance is in surplus, and the current account is also in surplus. What is the likely effect on the country's GDP?

Correct A. The GDP will increase due to the increase in exports.

B. The GDP will decrease due to the decrease in imports.

C. The GDP will remain unchanged as the trade balance is in surplus.

D. The GDP will increase due to the increase in government sp\ending.

Correct Answer: A

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Question 22

A firm is producing a good with a production function Q = 2L^0.5 K^0.5. If the price of the good is $10 and the wage rate is $20 per hour, what is the optimal level of labor to maximize profits?

A. 10 units of labor

Correct B. 20 units of labor

C. 30 units of labor

D. 40 units of labor

Correct Answer: B

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Question 23

A country's GDP is $100 billion, and its GNP is $120 billion. What is the country's net factor income from abroad?

A. $10 billion

Correct B. $20 billion

C. $30 billion

D. $40 billion

Correct Answer: B

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Question 24

A firm is producing a good with a production function Q = 2L^0.5 K^0.5. If the price of the good is $10 and the wage rate is $20 per hour, what is the optimal level of capital to maximize profits?

A. 10 units of capital

Correct B. 20 units of capital

C. 30 units of capital

D. 40 units of capital

Correct Answer: B

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Question 25

A country's demand for a good is given by the equation Qd = 100 - 2P, where P is the price of the good. If the price of the good is $20, what is the quantity demanded?

A. 40 units

Correct B. 60 units

C. 80 units

D. 100 units

Correct Answer: B

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