Practice post utme coal city university economics 2021 Past Questions

Question 1

Consider a firm operating in a perfectly competitive market. If the firm's marginal revenue (MR) and marginal \cost (MC) curves intersect at point E, where MR = MC, and the firm is producing 100 units of output, what is the opportunity \cost of producing one more unit of output?

A. ₦100

Correct B. ₦200

C. ₦300

D. ₦400

Correct Answer: B

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Question 2

A government imposes a tax on a firm's output. If the firm's supply curve shifts to the left, what is the effect on the equilibrium price and quantity of the good?

A. Price increases, quantity decreases

B. Price decreases, quantity increases

C. Price increases, quantity increases

Correct D. Price decreases, quantity decreases

Correct Answer: D

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Question 3

A monopolist faces a demand curve with the following equation: Q = 100 - 2P. If the firm's marginal revenue (MR) is given by MR = 200 - 2Q, what is the firm's optimal price and quantity?

A. P = ₦50, Q = 25

Correct B. P = ₦75, Q = 50

C. P = ₦100, Q = 75

D. P = ₦125, Q = 100

Correct Answer: B

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Question 4

A government imposes a tax on a firm's output. If the firm's supply curve shifts to the left, what is the effect on the equilibrium price and quantity of the good?

A. Price increases, quantity decreases

B. Price decreases, quantity increases

C. Price increases, quantity increases

Correct D. Price decreases, quantity decreases

Correct Answer: D

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Question 5

A firm is producing a good with the following production function: Q = 2L^2 + 3K. If the firm's \cost function is given by C = 2L + 3K, what is the firm's optimal level of labor and capital?

Correct A. L = 2, K = 3

B. L = 3, K = 2

C. L = 4, K = 1

D. L = 1, K = 4

Correct Answer: A

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Question 6

Consider a small open economy with a perfectly competitive market for a particular good. The domestic price of the good is $10, and the world price is $8. The domestic supply curve is given by Qs = 100 - 2P, and the domestic demand curve is given by Qd = 150 + 3P. Assuming that the economy is initially in equilibrium, what is the effect of a 10% depreciation in the value of the domestic currency on the domestic price of the good?

A. The domestic price of the good will increase by 10%

Correct B. The domestic price of the good will decrease by 10%

C. The domestic price of the good will remain unchanged

D. The domestic price of the good will increase by 20%

Correct Answer: B

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Question 7

A monopolist faces a demand curve given by Qd = 100 - 2P and a \cost function C(Q) = 10Q + 100. If the monopolist produces 20 units of the good, what is the consumer surplus?

A. $100

B. $200

Correct C. $300

D. $400

Correct Answer: C

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Question 8

A firm faces a demand curve given by Qd = 100 - 2P and a supply curve given by Qs = 50 + 2P. If the firm produces 30 units of the good, what is the elasticity of demand?

A. 0.5

Correct B. 1.0

C. 1.5

D. 2.0

Correct Answer: B

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Question 9

A consumer has the following utility function: U(X,Y) = 2X + 3Y. The prices of X and Y are $2 and $3, respectively. If the consumer has a budget of $15, what is the optimal quantity of X and Y to consume?

A. X = 5, Y = 3

B. X = 3, Y = 5

Correct C. X = 4, Y = 4

D. X = 2, Y = 6

Correct Answer: C

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Question 10

A firm faces a demand curve given by Qd = 100 - 2P and a supply curve given by Qs = 50 + 2P. If the firm produces 30 units of the good, what is the consumer surplus?

A. $100

B. $200

Correct C. $300

D. $400

Correct Answer: C

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Question 11

The demand for a product is given by the equation Qd = 100 - 2P, where Qd is the quantity demanded and P is the price. The supply of the product is given by the equation Qs = 2P - 50, where Qs is the quantity supplied. Find the equilibrium price and quantity.

A. ₦50

B. ₦75

Correct C. ₦100

D. ₦125

Correct Answer: C

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Question 12

A government imposes a tax of ₦10 on every unit of a product. The demand for the product is given by the equation Qd = 100 - 2P, where Qd is the quantity demanded and P is the price. The supply of the product is given by the equation Qs = 2P - 50, where Qs is the quantity supplied. Find the new equilibrium price and quantity.

A. ₦55

B. ₦65

Correct C. ₦75

D. ₦85

Correct Answer: C

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Question 13

A farmer produces wheat u\sing a production function Q = 2L^0.5K^0.5, where Q is the quantity produced, L is the labor used, and K is the capital used. The farmer has a budget constraint of 100 units of labor and 50 units of capital. Find the maximum quantity of wheat that can be produced.

A. 20

B. 30

C. 40

Correct D. 50

Correct Answer: D

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Question 14

A government imposes a tax of ₦10 on every unit of a product. The demand for the product is given by the equation Qd = 100 - 2P, where Qd is the quantity demanded and P is the price. The supply of the product is given by the equation Qs = 2P - 50, where Qs is the quantity supplied. Find the new equilibrium price and quantity.

A. ₦55

B. ₦65

Correct C. ₦75

D. ₦85

Correct Answer: C

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Question 15

A firm produces a product u\sing a production function Q = 2L^0.5K^0.5, where Q is the quantity produced, L is the labor used, and K is the capital used. The firm has a budget constraint of 100 units of labor and 50 units of capital. Find the maximum quantity of wheat that can be produced.

A. 20

B. 30

C. 40

Correct D. 50

Correct Answer: D

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Question 16

The Central Bank of Nigeria (CBN) uses the monetary policy instrument of Open Market Operations (OMO) to increase the money supply in the economy. If the CBN buys government securities from commercial banks, what is the effect on the money supply?

A. The money supply decreases

Correct B. The money supply increases

C. The money supply remains unchanged

D. The money supply decreases in the short run but increases in the long run

Correct Answer: B

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Question 17

A firm is considering two production processes: one that uses 10 units of labor and 5 units of capital to produce 100 units of output, and another that uses 15 units of labor and 3 units of capital to produce 120 units of output. If the firm has 20 units of labor and 10 units of capital available, which production process should it choose?

A. The first production process

Correct B. The second production process

C. Both production processes are equally efficient

D. Neither production process is efficient

Correct Answer: B

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Question 18

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

Correct A. The equilibrium price increases and the equilibrium quantity decreases

B. The equilibrium price decreases and the equilibrium quantity increases

C. The equilibrium price remains unchanged and the equilibrium quantity decreases

D. The equilibrium price increases and the equilibrium quantity remains unchanged

Correct Answer: A

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Question 19

A firm's revenue function is given by R(x) = 100x - 2x^2, where x is the number of units produced. If the firm produces 20 units, what is its revenue?

A. ₦1,600

Correct B. ₦1,800

C. ₦2,000

D. ₦2,200

Correct Answer: B

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Question 20

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 income is ₦1,000 and the prices of the two goods are ₦50 and ₦75 respectively, what is the consumer's optimal bundle?

A. (10, 5)

Correct B. (15, 3)

C. (20, 2)

D. (25, 1)

Correct Answer: B

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Question 21

A monopolist faces a demand curve given by Q = 100 - 2P. The monopolist's marginal \cost is MC = 10. If the monopolist produces 50 units, what is the consumer surplus?

Correct A. ₦2500

B. ₦3000

C. ₦3500

D. ₦4000

Correct Answer: A

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Question 22

A country's balance of payments is given by the following equation: BOP = $ X - M $ + $ F - I $. If the country's exports are ₦100 billion, imports are ₦80 billion, foreign investment is ₦20 billion, and domestic investment is ₦30 billion, what is the balance of payments?

Correct A. ₦20 billion surplus

B. ₦10 billion deficit

C. ₦30 billion surplus

D. ₦40 billion deficit

Correct Answer: A

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Question 23

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

A. 1.5

Correct B. 2.5

C. 3.5

D. 4.5

Correct Answer: B

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Question 24

A government imposes a tax of ₦10 on a good. The demand curve for the good is given by Q = 100 - 2P. If the government wants to maximize revenue, what is the optimal price?

A. ₦20

B. ₦25

Correct C. ₦30

D. ₦35

Correct Answer: C

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Question 25

A country's agricultural sector is given by the following equation: Q = 2A^0.5L^0.5. If the country's agricultural input and labor are 4 and 9 respectively, what is the marginal product of labor?

A. 1.5

Correct B. 2.5

C. 3.5

D. 4.5

Correct Answer: B

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