Practice post utme ims u economics 2023 Past Questions

Question 1

Determine the equilibrium price and quantity of a competitive market, given the following demand and supply functions: Qd = 100 - 2P, Qs = 50 + 3P.

A. \( P = 20, Q = 60 \)

Correct B. \( P = 30, Q = 50 \)

C. \( P = 40, Q = 40 \)

D. \( P = 50, Q = 30 \)

Correct Answer: B

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Question 2

A firm faces a demand curve given by Qd = 100 - 2P and a production function given by Q = 2L^2. If the firm's \cost function is C(L) = 10L + 5, determine the profit-maximizing level of output and price.

A. \( L = 5, P = 45 \)

Correct B. \( L = 10, P = 40 \)

C. \( L = 15, P = 35 \)

D. \( L = 20, P = 30 \)

Correct Answer: B

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Question 3

A consumer has a utility function given by U(x, y) = 2x + 3y. The consumer's budget constraint is given by 2x + 3y = 100. Determine the consumer's optimal bundle of x and y.

Correct A. \( x = 20, y = 30 \)

B. \( x = 30, y = 20 \)

C. \( x = 40, y = 10 \)

D. \( x = 50, y = 0 \)

Correct Answer: A

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Question 4

A firm has a production function given by Q = 2L^2 and a \cost function given by C(L) = 10L + 5. Determine the firm's marginal \cost and marginal product of labor.

A. \( MC = 20L, MP = 4L \)

Correct B. \( MC = 10L, MP = 2L \)

C. \( MC = 5L, MP = L \)

D. \( MC = 2L, MP = 0.5L \)

Correct Answer: B

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Question 5

A consumer has a utility function given by U(x, y) = 2x + 3y. The consumer's budget constraint is given by 2x + 3y = 100. Determine the consumer's indifference curves.

Correct A. ( U(x, y) = 2x + 3y )

B. ( U(x, y) = x + y )

C. ( U(x, y) = 2x - 3y )

D. ( U(x, y) = 3x - 2y )

Correct Answer: A

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Question 6

A consumer's indifference curve is given 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, find the consumer's optimal bundle of x and y.

Correct A. x = 40, y = 20

B. x = 30, y = 30

C. x = 20, y = 40

D. x = 10, y = 50

Correct Answer: A

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Question 7

A firm is producing a good u\sing two inputs, labor (L) and capital (K). The production function is given by \( Q = 2L^{0.5}K^{0.5} \). If the firm's techno\logy is such that the marginal product of labor is 0.5 and the marginal product of capital is 0.5, find the firm's optimal input mix.

Correct A. L = 4, K = 4

B. L = 2, K = 8

C. L = 8, K = 2

D. L = 1, K = 16

Correct Answer: A

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Question 8

A firm is operating in a perfectly competitive market. The firm's \cost function is given by ( C(Q) = 100 + 2Q ). If the market price is ₦50, find the firm's optimal output level.

Correct A. Q = 20

B. Q = 30

C. Q = 40

D. Q = 50

Correct Answer: A

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Question 9

A consumer's indifference curve is given 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, find the consumer's optimal bundle of x and y.

Correct A. x = 40, y = 20

B. x = 30, y = 30

C. x = 20, y = 40

D. x = 10, y = 50

Correct Answer: A

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Question 10

A firm is producing a good u\sing two inputs, labor (L) and capital (K). The production function is given by \( Q = 2L^{0.5}K^{0.5} \). If the firm's techno\logy is such that the marginal product of labor is 0.5 and the marginal product of capital is 0.5, find the firm's optimal input mix.

Correct A. L = 4, K = 4

B. L = 2, K = 8

C. L = 8, K = 2

D. L = 1, K = 16

Correct Answer: A

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Question 11

The Nigerian government has implemented a policy to increase agricultural production by providing subsidies to farmers. However, the policy has been criticized for being inefficient and wasteful. Which of the following is a potential opportunity \cost of this policy?

A. Increased food prices

Correct B. Reduced agricultural production

C. Increased government revenue

D. Reduced poverty among farmers

Correct Answer: B

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Question 12

A monopolistically competitive firm faces a downward-sloping demand curve and has the ability to produce at a lower \cost than its competitors. What is the likely effect of this on the firm's price and quantity sold?

A. Price increases and quantity sold decreases

Correct B. Price decreases and quantity sold increases

C. Price remains the same and quantity sold remains the same

D. Price increases and quantity sold increases

Correct Answer: B

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Question 13

A consumer has a utility function given by U(x,y) = 2x + 3y. The consumer's budget constraint is given by 2x + 3y = 12. What is the consumer's optimal bundle of x and y?

Correct A. (2,4)

B. (4,2)

C. (3,3)

D. (6,0)

Correct Answer: A

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Question 14

A government imposes a tax on a particular good, cau\sing the supply curve to shift to the left. What is the likely effect on the equilibrium price and quantity of the good?

Correct A. Price increases and quantity sold decreases

B. Price decreases and quantity sold increases

C. Price remains the same and quantity sold remains the same

D. Price increases and quantity sold increases

Correct Answer: A

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Question 15

A firm is faced with a perfectly competitive market structure. What is the likely effect on the firm's price and quantity sold?

A. Price increases and quantity sold decreases

Correct B. Price decreases and quantity sold increases

C. Price remains the same and quantity sold remains the same

D. Price increases and quantity sold increases

Correct Answer: B

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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. U\sing the concept of equilibrium, find the price and quantity at which the firm will operate.

A. Price = 20, Quantity = 30

B. Price = 30, Quantity = 20

Correct C. Price = 25, Quantity = 25

D. Price = 15, Quantity = 35

Correct Answer: C

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Question 17

A country's GDP is given by the equation Y = C + I + G + \( X - M \). If the country's consumption is 500, investment is 200, government sp\ending is 300, exports are 400, and imports are 200, calculate the country's GDP.

A. 1000

B. 1200

Correct C. 1500

D. 1800

Correct Answer: C

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Question 18

A firm's revenue function is given by R = 100P - 0.5P^2. If the firm sells 100 units at a price of 10, calculate the firm's total revenue.

Correct A. 1000

B. 1200

C. 1500

D. 1800

Correct Answer: A

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Question 19

A country's balance of payments account is given by the equation BOP = X - M + \( F - I \). If the country's exports are 500, imports are 300, foreign investment is 200, and domestic investment is 100, calculate the country's balance of payments.

A. 200

B. 300

Correct C. 400

D. 500

Correct Answer: C

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Question 20

A firm's \cost function is given by C = 100 + 2Q + 0.5Q^2. If the firm produces 50 units, calculate the firm's total \cost.

A. 1500

B. 1600

Correct C. 1700

D. 1800

Correct Answer: C

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Question 21

The concept of scarcity in economics implies that the wants and needs of individuals are unlimited, while the resources available to satisfy these wants and needs are limited. Which of the following best describes the relationship between wants and needs?

A. Wants are unlimited, while needs are limited.

B. Wants and needs are both unlimited.

Correct C. Wants are limited, while needs are unlimited.

D. Wants and needs are both limited.

Correct Answer: C

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Question 22

A firm's production possibilities curve (PPC) is a graphical representation of the various combinations of two goods that a firm can produce given the available resources and techno\logy. Which of the following is a characteristic of a PPC?

A. It is a straight line.

Correct B. It is a curve.

C. It is a rec\tangle.

D. It is a triangle.

Correct Answer: B

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Question 23

The law of demand states that as the price of a good increases, the quantity demanded of that good decreases, ceteris paribus. Which of the following is a consequence of the law of demand?

A. The demand curve is upward-sloping.

Correct B. The demand curve is downward-sloping.

C. The supply curve is upward-sloping.

D. The supply curve is downward-sloping.

Correct Answer: B

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Question 24

The concept of opportunity \cost is a fundamental principle in economics that refers to the value of the next best alternative that is given up when a choice is made. Which of the following best describes the concept of opportunity \cost?

Correct A. The value of the next best alternative that is given up when a choice is made.

B. The value of the alternative that is chosen.

C. The value of the alternative that is not chosen.

D. The value of the alternative that is given up.

Correct Answer: A

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Question 25

The concept of comparative advantage is a fundamental principle in international trade that refers to the ability of a country to produce a good at a lower opportunity \cost than another country. Which of the following best describes the concept of comparative advantage?

Correct A. The ability of a country to produce a good at a lower opportunity \cost than another country.

B. The ability of a country to produce a good at a higher opportunity \cost than another country.

C. The ability of a country to produce a good at the same opportunity \cost as another country.

D. The ability of a country to produce a good at a lower price than another country.

Correct Answer: A

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POST UTME IMS U 2023 Economics | Objective

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