Practice Post UTME COAL CITY UNIVERSITY economics 2020 Past Questions

Question 1

Consider a firm operating in a perfectly competitive market with a given production function Q = 2L^0.5K^0.5. If the firm's current input prices are w = ₦100 and r = ₦200, and it currently uses 100 units of labor and 50 units of capital, what is the firm's current total \cost of production?

A. ₦50,000

B. ₦75,000

Correct C. ₦100,000

D. ₦125,000

Correct Answer: C

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Question 2

A country's GDP is ₦100 billion, its government exp\enditure is ₦30 billion, and its private consumption is ₦50 billion. What is the country's net domestic product?

A. ₦20 billion

Correct B. ₦30 billion

C. ₦40 billion

D. ₦50 billion

Correct Answer: B

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Question 3

A firm's demand function is given by Q = 100 - 2P. If the firm's current price is ₦50, what is the quantity demanded?

A. 50

Correct B. 75

C. 100

D. 125

Correct Answer: B

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Question 4

A firm's production function is given by Q = 2L^0.5K^0.5. If the firm's current input prices are w = ₦100 and r = ₦200, and it currently uses 100 units of labor and 50 units of capital, what is the firm's current marginal product of labor?

A. 0.5

B. 1

Correct C. 2

D. 5

Correct Answer: C

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Question 5

A country's GDP is ₦100 billion, its government exp\enditure is ₦30 billion, and its private consumption is ₦50 billion. What is the country's gross national product?

A. ₦80 billion

B. ₦90 billion

Correct C. ₦100 billion

D. ₦110 billion

Correct Answer: C

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Question 6

A firm's demand curve is given by the equation 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 7

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 = 2, y = 4

B. x = 3, y = 3

C. x = 4, y = 2

D. x = 5, y = 1

Correct Answer: A

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Question 8

A firm's supply curve is given by the equation Q = 2P + 10, 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 supply curve intersects the demand curve.

A. ₦20

B. ₦30

Correct C. ₦40

D. ₦50

Correct Answer: C

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Question 9

A consumer's budget constraint is given by the equation 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 = 2, y = 4

B. x = 3, y = 3

C. x = 4, y = 2

D. x = 5, y = 1

Correct Answer: A

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Question 10

A firm's demand curve is given by the equation 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 11

A firm's production function is given by Q = 2L^\( 1/2 \)K^\( 1/2 \), where L is labor and K is capital. If the firm's labor and capital inputs are increased by 20% and 15% respectively, what is the percentage change in output?

A. 5%

Correct B. 10%

C. 15%

D. 20%

Correct Answer: B

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Question 12

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

A. P = 40, Q = 30

Correct B. P = 50, Q = 25

C. P = 60, Q = 20

D. P = 70, Q = 15

Correct Answer: B

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Question 13

A consumer's budget constraint is given by 2Y + 3X = 100, where Y is the quantity of good Y and X is the quantity of good X. The consumer's indifference curve is given by U = 2Y + X. What is the consumer's optimal bundle?

Correct A. (20, 10)

B. (15, 20)

C. (10, 30)

D. (5, 40)

Correct Answer: A

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Question 14

A firm's \cost function is given by C = 100 + 2L + 3K, where L is labor and K is capital. If the firm's labor and capital inputs are increased by 10% and 5% respectively, what is the percentage change in total \cost?

A. 5%

Correct B. 10%

C. 15%

D. 20%

Correct Answer: B

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Question 15

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

A. P = 40, Q = 30

Correct B. P = 50, Q = 25

C. P = 60, Q = 20

D. P = 70, Q = 15

Correct Answer: B

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Question 16

A firm's production function is given by Q = 2L^0.5K^0.5. If the price of labor (L) is ₦100 per unit and the price of capital (K) is ₦200 per unit, calculate the total \cost of producing 4 units of output.

A. ₦400

Correct B. ₦800

C. ₦1200

D. ₦1600

Correct Answer: B

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Question 17

A consumer's utility function is given by U = 2x + 3y, where x and y are the quantities of two goods consumed. If the prices of the two goods are ₦50 and ₦75 respectively, and the consumer's income is ₦1500, determine the optimal quantities of the two goods to consume.

Correct A. x = 10, y = 5

B. x = 5, y = 10

C. x = 15, y = 3

D. x = 20, y = 2

Correct Answer: A

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Question 18

A country's GDP is given by the equation Y = C + I + G, where C is consumption, I is investment, and G is government sp\ending. If the country's GDP is ₦10 trillion, consumption is ₦3 trillion, investment is ₦2 trillion, and government sp\ending is ₦1 trillion, calculate the marginal propensity to consume.

Correct A. 0.3

B. 0.4

C. 0.5

D. 0.6

Correct Answer: A

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Question 19

A firm's \cost function is given by C = 2L + 3K, where L is labor and K is capital. If the firm's revenue function is given by R = 4L + 5K, calculate the firm's profit-maximizing level of labor and capital.

Correct A. L = 5, K = 3

B. L = 3, K = 5

C. L = 4, K = 4

D. L = 6, K = 2

Correct Answer: A

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Question 20

A country's money supply is given by the equation M = kPY, where M is the money supply, k is a cons\tant, P is the price level, and Y is real GDP. If the country's money supply is ₦5 trillion, the price level is 100, and real GDP is ₦10 trillion, calculate the value of k.

Correct A. 0.5

B. 0.6

C. 0.7

D. 0.8

Correct Answer: A

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Question 21

A monopolistically competitive firm faces a demand curve with a cons\tant elasticity of -2. If the firm's marginal revenue (MR) is given by the equation MR = 100 - 2Q, where Q is the quantity sold, what is the firm's optimal quantity?

A. 50 units

Correct B. 75 units

C. 100 units

D. 125 units

Correct Answer: B

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Question 22

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 10x + 5y = 100, and the price of good x is ₦20, what is the consumer's optimal bundle?

A. x = 2, y = 10

Correct B. x = 3, y = 8

C. x = 4, y = 6

D. x = 5, y = 4

Correct Answer: B

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Question 23

A perfectly competitive market has a supply curve given by Q = 2P + 10. If the demand curve is given by Q = 100 - 2P, what is the equilibrium price and quantity?

Correct A. P = 20, Q = 60

B. P = 30, Q = 70

C. P = 40, Q = 80

D. P = 50, Q = 90

Correct Answer: A

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Question 24

A monopolist faces a demand curve with a cons\tant elasticity of -3. If the firm's marginal revenue (MR) is given by the equation MR = 150 - 3Q, where Q is the quantity sold, what is the firm's optimal quantity?

A. 25 units

Correct B. 50 units

C. 75 units

D. 100 units

Correct Answer: B

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Question 25

A consumer's utility function is given by U = 3x + 2y, where x and y are the quantities of two goods consumed. If the consumer's budget constraint is 10x + 5y = 100, and the price of good x is ₦20, what is the consumer's optimal bundle?

A. x = 3, y = 8

Correct B. x = 4, y = 6

C. x = 5, y = 4

D. x = 6, y = 2

Correct Answer: B

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