Practice post utme babcock university economics 2017 Past Questions

Question 1

A firm's production function is given by Q = 2L^0.5H^0.5. If the price of labor (L) is ₦100 per unit and the price of capital (H) is ₦150 per unit, and the firm's budget constraint is 2L + 3H = ₦3000, what is the optimal level of production?

A. Q = 100

B. Q = 120

Correct C. Q = 150

D. Q = 180

Correct Answer: C

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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 consumption (C) is ₦500 billion, investment (I) is ₦200 billion, government sp\ending (G) is ₦300 billion, exports (X) are ₦400 billion, and imports (M) are ₦200 billion, what is the country's GDP?

A. ₦1.5 trillion

B. ₦1.6 trillion

Correct C. ₦1.7 trillion

D. ₦1.8 trillion

Correct Answer: C

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Question 3

A firm's demand function is given by Q = 100 - 2P. If the firm's marginal revenue (MR) is ₦50 and the firm's marginal \cost (MC) is ₦40, what is the firm's optimal price?

A. ₦20

B. ₦25

Correct C. ₦30

D. ₦35

Correct Answer: C

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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 equilibrium price level. If the current price level is ₦100 and the equilibrium price level is ₦90, what is the country's inflation rate?

A. 10%

Correct B. 20%

C. 30%

D. 40%

Correct Answer: B

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Question 5

A firm's production function is given by Q = 2L^0.5H^0.5. If the firm's budget constraint is 2L + 3H = ₦3000 and the price of labor (L) is ₦100 per unit and the price of capital (H) is ₦150 per unit, what is the firm's optimal level of production?

A. Q = 100

B. Q = 120

Correct C. Q = 150

D. Q = 180

Correct Answer: C

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Question 6

Suppose 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 supply of the product is given by the equation Qs = 2P - 100, where Qs is the quantity supplied, find the equilibrium price and quantity.

A. ₦50

Correct B. ₦75

C. ₦100

D. ₦125

Correct Answer: B

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Question 7

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

A. 20

B. 25

Correct C. 30

D. 35

Correct Answer: C

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Question 8

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

A. ₦200 billion

B. ₦250 billion

Correct C. ₦300 billion

D. ₦350 billion

Correct Answer: C

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Question 9

A consumer has a utility function given by U = 2x + 3y, where x and y are the quantities of two goods. If the consumer has a budget of ₦100 and the prices of the two goods are ₦20 and ₦30 respectively, find the optimal quantities of the two goods.

A. x = 2, y = 3

Correct B. x = 3, y = 2

C. x = 4, y = 1

D. x = 1, y = 4

Correct Answer: B

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Question 10

A firm has a \cost function given by C = 2L + 3K, where C is the \cost, L is the labor and K is the capital. If the firm has 10 units of labor and 5 units of capital, find the \cost.

A. ₦20

B. ₦25

Correct C. ₦30

D. ₦35

Correct Answer: C

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Question 11

Suppose a government imposes a tax of ₦100 on every unit of a good. If the supply curve is given by Q = 2P - 100 and the demand curve is given by Q = 200 - 2P, what is the new equilibrium price and quantity?

Correct A. ₦150, 150 units

B. ₦200, 100 units

C. ₦250, 50 units

D. ₦300, 0 units

Correct Answer: A

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Question 12

A monopolist faces a market demand curve given by Q = 100 - 2P and a marginal revenue function MR = 200 - 2P. Find the monopolist's profit-maximizing price and quantity.

Correct A. ₦50, 75 units

B. ₦60, 80 units

C. ₦70, 85 units

D. ₦80, 90 units

Correct Answer: A

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Question 13

A firm has a total revenue function given by TR = 2Q^2 + 100Q and a total \cost function given by TC = Q^2 + 200Q. Find the firm's profit-maximizing quantity.

A. 50 units

B. 75 units

Correct C. 100 units

D. 125 units

Correct Answer: C

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Question 14

A firm's demand curve is given by Q = 100 - 2P and its marginal revenue function is MR = 200 - 2P. Find the firm's price elasticity of demand at a price of ₦50.

Correct A. 0.5

B. 1.0

C. 2.0

D. 3.0

Correct Answer: A

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Question 15

A firm's supply curve is given by Q = 2P - 100 and its demand curve is given by Q = 200 - 2P. Find the firm's consumer surplus at an equilibrium price of ₦100.

Correct A. ₦5000

B. ₦6000

C. ₦7000

D. ₦8000

Correct Answer: A

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Question 16

The government of Nigeria has introduced a new tax policy aimed at reducing income inequality. The policy includes a 10% tax on individuals earning above ₦500,000 per annum. Assuming the tax revenue is used to fund public goods and services, which of the following statements is true?

A. The tax policy will increase the tax burden on low-income earners.

B. The tax policy will reduce the tax burden on high-income earners.

Correct C. The tax policy will increase government revenue.

D. The tax policy will reduce income inequality.

Correct Answer: C

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Question 17

A firm is considering investing in a new project that requires an initial investment of ₦10 million. The project is expected to generate a cash inflow of ₦2 million per annum for 5 years. U\sing the net present value (NPV) method, what is the minimum discount rate required for the project to be acceptable?

A. 10%

Correct B. 15%

C. 20%

D. 25%

Correct Answer: B

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Question 18

The Central Bank of Nigeria has introduced a new monetary policy aimed at reducing inflation. The policy includes a 5% increase in the reserve requirement for commercial banks. Assuming the money supply is perfectly elastic, what is the expected effect on the price level?

A. The price level will increase.

Correct B. The price level will decrease.

C. The price level will remain unchanged.

D. The effect on the price level is uncertain.

Correct Answer: B

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Question 19

A consumer is faced with the following utility function: ( U(x,y) = 2x + 3y ). The consumer's budget constraint is \( 2x + 3y = 12 \). U\sing the method of substitution, what is the consumer's optimal bundle of x and y?

Correct A. \( x = 2, y = 4 \)

B. \( x = 4, y = 2 \)

C. \( x = 3, y = 3 \)

D. \( x = 1, y = 5 \)

Correct Answer: A

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Question 20

The government of Nigeria has introduced a new agricultural policy aimed at increa\sing food production. The policy includes a 10% subsidy on fertilizers for farmers. Assuming the demand for fertilizers is perfectly inelastic, what is the expected effect on the price of fertilizers?

A. The price of fertilizers will increase.

Correct B. The price of fertilizers will decrease.

C. The price of fertilizers will remain unchanged.

D. The effect on the price of fertilizers is uncertain.

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 0.5, what is the price at which the quantity demanded is 50?

A. ₦50

Correct B. ₦75

C. ₦100

D. ₦125

Correct Answer: B

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Question 22

A firm produces two goods, X and Y. The production function for good X is given by X = 2L + 3K, where L is labor and K is capital. The production function for good Y is given by Y = 4L + 2K. If the firm has 10 units of labor and 5 units of capital, what is the total output of the firm?

A. 30

B. 40

Correct C. 50

D. 60

Correct Answer: C

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Question 23

The government of a country is considering a policy to reduce inflation. The policy involves reducing the money supply by 10%. If the current money supply is ₦100 billion, what will be the new money supply?

Correct A. ₦90 billion

B. ₦95 billion

C. ₦100 billion

D. ₦105 billion

Correct Answer: A

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Question 24

A firm is considering two investment projects. Project A has a \cost of ₦100 million and a return of ₦120 million. Project B has a \cost of ₦80 million and a return of ₦100 million. Which project should the firm choose?

Correct A. Project A

B. Project B

C. Both projects

D. Neither project

Correct Answer: A

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Question 25

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 50?

A. ₦50

Correct B. ₦75

C. ₦100

D. ₦125

Correct Answer: B

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