Practice post utme unilag economics 2024 Past Questions

Question 1

A firm's production function is given by Q = 2L^0.5K^0.5, where Q is output, L is labor, and K is capital. If the firm's current labor and capital inputs are L = 4 and K = 9, respectively, what is the marginal product of labor (MPL) when the firm is producing at the given input levels?

A. 1

Correct B. 2

C. 3

D. 4

Correct Answer: B

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Question 2

The demand for a product is given by Qd = 100 - 2P, where Qd is the quantity demanded and P is the price. The supply of the product is given by Qs = 2P - 100. What is the equilibrium price and quantity?

Correct A. P = 50, Q = 50

B. P = 75, Q = 75

C. P = 100, Q = 100

D. P = 125, Q = 125

Correct Answer: A

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Question 3

A country's balance of payments (BOP) is given by the following equation: BOP = X - M, where X is exports and M is imports. If the country's exports are $100 million and imports are $80 million, what is the balance of payments?

Correct A. $20 million

B. $30 million

C. $40 million

D. $50 million

Correct Answer: A

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Question 4

A firm's \cost function is given by C = 2L + 3K, where C is \cost, L is labor, and K is capital. If the firm's current labor and capital inputs are L = 5 and K = 10, respectively, what is the total \cost?

A. ₦50

Correct B. ₦60

C. ₦70

D. ₦80

Correct Answer: B

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Question 5

A country's agricultural sector is given by the following production function: Q = 2L^0.5K^0.5, where Q is output, L is labor, and K is capital. If the country's current labor and capital inputs are L = 6 and K = 16, respectively, what is the marginal product of labor (MPL) when the country is producing at the given input levels?

A. 1

Correct B. 2

C. 3

D. 4

Correct Answer: B

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Question 6

The government of a country has decided to implement a new tax on luxury goods to reduce income inequality. The tax rate is 20% of the price of the good. If a luxury good \costs ₦5000, what is the amount of tax paid by the consumer?

Correct A. ₦1000

B. ₦1200

C. ₦1500

D. ₦2000

Correct Answer: A

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Question 7

A firm produces two goods, A and B. The production function for good A is given by Q_A = 2L + 3K, where L is labor and K is capital. The production function for good B is given by Q_B = 4L + 2K. If the firm has 10 units of labor and 5 units of capital, how many units of good A and good B will the firm produce?

Correct A. Q_A = 25, Q_B = 20

B. Q_A = 20, Q_B = 25

C. Q_A = 15, Q_B = 30

D. Q_A = 30, Q_B = 15

Correct Answer: A

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Question 8

A consumer has a budget of ₦1000 and faces the following prices for two goods: good X \costs ₦200 and good Y \costs ₦300. If the consumer's utility function is given by U = 2X + 3Y, what is the consumer's optimal bundle of goods X and Y?

Correct A. X = 2, Y = 1

B. X = 1, Y = 2

C. X = 3, Y = 0

D. X = 0, Y = 3

Correct Answer: A

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Question 9

A firm has a production function Q = 2L + 3K, where L is labor and K is capital. The firm's \cost function is given by C = 2L + 3K. If the firm has 10 units of labor and 5 units of capital, what is the firm's total \cost?

A. ₦100

B. ₦150

Correct C. ₦200

D. ₦250

Correct Answer: C

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Question 10

A consumer has a budget of ₦1000 and faces the following prices for two goods: good X \costs ₦200 and good Y \costs ₦300. If the consumer's utility function is given by U = 2X + 3Y, what is the consumer's optimal bundle of goods X and Y?

Correct A. X = 2, Y = 1

B. X = 1, Y = 2

C. X = 3, Y = 0

D. X = 0, Y = 3

Correct Answer: A

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Question 11

A consumer's indifference curve is represented by the equation ( u(x,y) = 2x + 3y ). If the consumer's income is ₦1000 and the prices of x and y are ₦5 and ₦3 respectively, what is the optimal bundle of x and y?

Correct A. x = 80, y = 60

B. x = 60, y = 80

C. x = 40, y = 120

D. x = 120, y = 40

Correct Answer: A

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Question 12

A firm is operating under a perfectly competitive market structure. If the market price is ₦200 and the firm's marginal \cost is ₦150, what is the firm's profit-maximizing output?

Correct A. 100 units

B. 200 units

C. 300 units

D. 400 units

Correct Answer: A

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Question 13

A firm is operating under a monopoly market structure. If the firm's demand curve is given by $ Q = 100 - 2P $ and the firm's marginal \cost is ₦50, what is the firm's profit-maximizing price?

A. ₦50

Correct B. ₦75

C. ₦100

D. ₦125

Correct Answer: B

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Question 14

A firm is operating under a perfectly competitive market structure. If the market price is ₦200 and the firm's total revenue is ₦40,000, what is the firm's total \cost?

Correct A. ₦30,000

B. ₦35,000

C. ₦40,000

D. ₦45,000

Correct Answer: A

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Question 15

A consumer is faced with a budget constraint of ₦1000 and a preference map given by the utility function ( u(x,y) = 2x + 3y ). If the prices of x and y are ₦5 and ₦3 respectively, what is the consumer's optimal bundle of x and y?

Correct A. x = 80, y = 60

B. x = 60, y = 80

C. x = 40, y = 120

D. x = 120, y = 40

Correct Answer: A

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Question 16

Consider a closed economy with a GDP of ₦100 billion, a GNP of ₦120 billion, and a net factor income from abroad of ₦20 billion. What is the value of the country's net domestic product (NDP)?

Correct A. ₦80 billion

B. ₦100 billion

C. ₦120 billion

D. ₦140 billion

Correct Answer: A

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Question 17

A consumer's indifference curve is given by the equation ( 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 bundle?

A. (10, 10)

B. (20, 5)

Correct C. (15, 7.5)

D. (5, 20)

Correct Answer: C

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Question 18

A government budget is given by the equation $ B = T + G $, where B is the budget deficit, T is the tax revenue, and G is the government exp\enditure. If the tax revenue is ₦50 billion and the government exp\enditure is ₦60 billion, what is the budget deficit?

A. ₦10 billion

B. ₦20 billion

Correct C. ₦30 billion

D. ₦40 billion

Correct Answer: C

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Question 19

Consider a monetary policy where the central bank increases the reserve requirement from 10% to 15%. What is the effect on the money supply?

A. Increase

Correct B. Decrease

C. No change

D. Uncertain

Correct Answer: B

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Question 20

A firm's production function is given by the equation $ Q = 2L + 3K $, where Q is the output, L is the labor, and K is the capital. If the firm hires 10 units of labor and 5 units of capital, what is the output?

A. 20

B. 30

Correct C. 40

D. 50

Correct Answer: C

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Question 21

A firm faces a downward-sloping demand curve, and its marginal revenue (MR) curve intersects the marginal \cost (MC) curve at point E. If the firm produces at this level of output, what is the opportunity \cost of producing one more unit of output?

A. The price elasticity of demand

B. The slope of the demand curve

Correct C. The difference between MR and MC

D. The firm's total revenue

Correct Answer: C

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Question 22

A government wants to reduce income inequality by implementing a progressive tax system. If the government imposes a tax rate of 20% on income between ₦100,000 and ₦200,000, and a tax rate of 30% on income above ₦200,000, what is the opportunity \cost of the government's tax policy?

A. The reduction in government revenue

B. The increase in tax evasion

C. The distortion in labor supply

Correct D. The reduction in economic growth

Correct Answer: D

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Question 23

A monopolist faces a demand curve with a price elasticity of -2. If the firm's marginal revenue (MR) curve is twice its marginal \cost (MC) curve, what is the firm's profit-maximizing level of output?

A. The point where MR = MC

B. The point where P = MC

Correct C. The point where MR = 2MC

D. The point where P = 2MC

Correct Answer: C

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Question 24

A consumer has a utility function U(x,y) = 2x + 3y, where x and y are the quantities of two goods consumed. If the consumer's budget constraint is 10x + 5y = 100, and the prices of the two goods are ₦5 and ₦10 respectively, what is the consumer's optimal bundle of goods?

A. (x,y) = (10,0)

Correct B. (x,y) = (5,5)

C. (x,y) = (0,10)

D. (x,y) = (20,0)

Correct Answer: B

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Question 25

A firm's production function is given by Q = 2L^2 + 3K, where L and K are the quantities of labor and capital respectively. If the firm's \cost function is C = 10L + 20K, and the prices of labor and capital are ₦5 and ₦10 respectively, what is the firm's profit-maximizing level of output?

A. The point where MP_L = MP_K

B. The point where MC_L = MC_K

Correct C. The point where P = MC

D. The point where P = 2MC

Correct Answer: C

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POST UTME UNILAG 2024 Economics | Objective

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