Practice post utme ims u economics 2021 Past Questions

Question 1

In a perfectly competitive market, what is the relationship between the marginal revenue product of labor (MRP) and the marginal factor \cost (MFC)?

A. MRP > MFC

B. MRP < MFC

Correct C. MRP = MFC

D. MRP and MFC are unrelated

Correct Answer: C

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Question 2

A firm is considering investing in a new project with a net present value (NPV) of ₦1,500,000. If the \cost of capital is 10%, what is the internal rate of return (IRR) of the project?

A. 12%

Correct B. 15%

C. 18%

D. 20%

Correct Answer: B

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Question 3

A consumer's indifference curve is given by the equation ( U(x,y) = 2x + 3y ). If the consumer's income is ₦1,200 and the prices of x and y are ₦50 and ₦75 respectively, what is the consumer's optimal bundle?

A. (20, 16)

Correct B. (24, 12)

C. (28, 8)

D. (32, 4)

Correct Answer: B

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Question 4

A firm is facing a downward-sloping demand curve given by the equation $ Q = 100 - 2P $. If the firm's marginal \cost is ₦50, what is the profit-maximizing price?

A. ₦40

Correct B. ₦45

C. ₦50

D. ₦55

Correct Answer: B

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Question 5

A firm is producing a good u\sing a production function given by the equation $ Q = 2L^2 + 3K $. If the firm's \cost of labor is ₦50 per unit and the \cost of capital is ₦100 per unit, what is the minimum \cost of producing 100 units of the good?

A. ₦5,000

B. ₦6,000

Correct C. ₦7,000

D. ₦8,000

Correct Answer: C

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Question 6

A government imposes a tax on imported goods to protect the domestic industry. This is an example of a(n)

Correct A. Tariff

B. Quota

C. Subsidy

D. Export Tax

Correct Answer: A

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Question 7

A firm's production function is given by Q = 100L^0.5K^0.5. If the price of labor is ₦100 per unit and the price of capital is ₦200 per unit, and the firm's budget constraint is 100L + 200K = ₦10,000, find the optimal level of labor and capital.

A. L = 10, K = 20

B. L = 20, K = 10

Correct C. L = 15, K = 15

D. L = 25, K = 5

Correct Answer: C

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Question 8

A consumer's utility function is given by U = 2x + 3y. If the prices of x and y are ₦5 and ₦10 respectively, and the consumer's budget is ₦50, find the optimal quantities of x and y.

A. x = 5, y = 2

B. x = 10, y = 1

Correct C. x = 7, y = 3

D. x = 3, y = 5

Correct Answer: C

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Question 9

A country's balance of payments is given by the following table:\n\n| Item | Value |\n| --- | --- |\n| Exports | ₦100,000 |\n| Imports | ₦150,000 |\n| Net Factor Income | ₦20,000 |\n| Net Transfer | ₦10,000 |\n\nFind the country's balance of payments.

Correct A. ₦30,000

B. ₦40,000

C. ₦50,000

D. ₦60,000

Correct Answer: A

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Question 10

A firm's demand function for a product is given by Q = 100 - 2P. If the firm's marginal revenue function is given by MR = 200 - 4Q, find the firm's optimal price and quantity.

A. P = ₦50, Q = 25

Correct B. P = ₦75, Q = 12

C. P = ₦100, Q = 0

D. P = ₦200, Q = 50

Correct Answer: B

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Question 11

A firm's demand curve is given by Q = 100 - 2P, where Q is the quantity demanded and P is the price. If the firm's revenue function is R(P) = P$ 100 - 2P $, find the price at which the firm's revenue is maximized.

A. ₦50

B. ₦75

Correct C. ₦100

D. ₦125

Correct Answer: C

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Question 12

A consumer's utility function is given by U(x, y) = 2x + 3y, where x and y are the quantities of two goods consumed. If the consumer's budget constraint is 2x + 3y = 12, find the optimal quantities of x and y that maximize the consumer's utility.

Correct A. x = 3, y = 4

B. x = 4, y = 3

C. x = 2, y = 6

D. x = 6, y = 2

Correct Answer: A

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Question 13

A firm's supply curve is given by Q = 2P + 5, where Q is the quantity supplied and P is the price. If the firm's marginal \cost function is MC(P) = 2P + 5, find the price at which the firm's marginal \cost equals its marginal revenue.

A. ₦20

Correct B. ₦30

C. ₦40

D. ₦50

Correct Answer: B

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Question 14

A consumer's budget constraint is given by 2x + 3y = 12, where x and y are the quantities of two goods consumed. If the consumer's utility function is U(x, y) = 2x + 3y, find the optimal quantities of x and y that maximize the consumer's utility.

Correct A. x = 3, y = 4

B. x = 4, y = 3

C. x = 2, y = 6

D. x = 6, y = 2

Correct Answer: A

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Question 15

A firm's demand curve is given by Q = 100 - 2P, where Q is the quantity demanded and P is the price. If the firm's revenue function is R(P) = P$ 100 - 2P $, find the price at which the firm's revenue is maximized.

A. ₦50

B. ₦75

Correct C. ₦100

D. ₦125

Correct Answer: C

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Question 16

Consider a perfectly competitive market with 5 firms, each producing a homogeneous product. If the market price is $10 and each firm's marginal \cost is $8, what is the profit-maximizing quantity for each firm?

A. 100 units

Correct B. 200 units

C. 300 units

D. 400 units

Correct Answer: B

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Question 17

A consumer's utility function is given by ( U(x,y) = 2x + 3y ). If the prices of x and y are $2 and $3 respectively, and the consumer has a budget of $15, what is the optimal bundle of x and y?

A. (5,5)

B. (10,0)

C. (0,10)

Correct D. (7,3)

Correct Answer: D

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Question 18

A monopolist faces a demand curve given by $ Q = 100 - 2P $ and a marginal \cost curve given by $ MC = 10 + 2Q $. What is the profit-maximizing price and quantity?

A. $20, 40 units

Correct B. $30, 60 units

C. $40, 80 units

D. $50, 100 units

Correct Answer: B

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Question 19

A firm's production function is given by $ Q = 2L^{0.5}K^{0.5} $. If the firm's current inputs are L = 4 and K = 9, what is the marginal product of labor?

A. 1

Correct B. 2

C. 3

D. 4

Correct Answer: B

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Question 20

A consumer's budget constraint is given by $ 2x + 3y = 12 $. If the consumer's utility function is given by ( U(x,y) = xy ), what is the optimal bundle of x and y?

Correct A. (2,4)

B. (4,2)

C. (3,3)

D. (6,1)

Correct Answer: A

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Question 21

The Nigerian government has implemented a policy to increase agricultural production by providing subsidies to farmers. However, the policy has led to an increase in the price of agricultural inputs, which has reduced the profit margins of farmers. U\sing the concept of opportunity \cost, explain why the government's policy may not be effective in increa\sing agricultural production.

Correct A. The policy has increased the opportunity \cost of farming, making it less profitable for farmers.

B. The policy has reduced the opportunity \cost of farming, making it more profitable for farmers.

C. The policy has had no effect on the opportunity \cost of farming.

D. The policy has increased the opportunity \cost of farming, but this has been offset by the increase in subsidies.

Correct Answer: A

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Question 22

A monopolist produces a good with a cons\tant marginal \cost of ₦10 and a demand curve given by Q = 100 - 2P. If the monopolist produces 20 units of the good, what is the consumer surplus?

A. ₦1000

Correct B. ₦2000

C. ₦3000

D. ₦4000

Correct Answer: B

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Question 23

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

A. 2

Correct B. 3

C. 4

D. 5

Correct Answer: B

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Question 24

A country has a trade deficit of ₦100 billion and a balance of payments deficit of ₦200 billion. What is the difference between the trade deficit and the balance of payments deficit?

A. ₦100 billion

B. ₦200 billion

Correct C. ₦300 billion

D. ₦400 billion

Correct Answer: C

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Question 25

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

A. ₦50

B. ₦100

Correct C. ₦150

D. ₦200

Correct Answer: C

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