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POST UTME PAN-ATLANTIC UNIVERSITY 2023 Economics | Objective

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Question 1

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

Correct A. ₦1800

B. ₦2000

C. ₦2200

D. ₦2400

Correct Answer: A

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Question 2

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

A. ₦10 billion

Correct B. ₦20 billion

C. ₦30 billion

D. ₦40 billion

Correct Answer: B

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Question 3

A firm's \cost function is given by the equation C(x) = 50x + 1000, where x is the number of units produced. If the firm produces 15 units, what is the total \cost?

A. ₦2500

Correct B. ₦3000

C. ₦3500

D. ₦4000

Correct Answer: B

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Question 4

A consumer's utility function is given by the equation U(x, y) = 2x + 3y, where x is the number of units of good X consumed and y is the number of units of good Y consumed. If the consumer has a budget of ₦100 and the prices of good X and good Y are ₦5 and ₦10 respectively, what is the consumer's optimal consumption bundle?

Correct A. (10, 5)

B. (5, 10)

C. (15, 3)

D. (20, 2)

Correct Answer: A

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Question 5

A country's inflation rate is given by the equation I = $ P - P' $ / P', where P is the current price level and P' is the previous price level. If the current price level is ₦100 and the previous price level was ₦90, what is the inflation rate?

A. 10%

Correct B. 20%

C. 30%

D. 40%

Correct Answer: B

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Question 6

A firm's production function is given by Q = 100L^0.5K^0.5, where Q is output, 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 new level of output?

A. 121.6

Correct B. 125.6

C. 130.6

D. 135.6

Correct Answer: B

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Question 7

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 $2 and $3 respectively, and the consumer's income is $15, what is the optimal bundle of goods?

Correct A. x = 3, y = 2

B. x = 2, y = 3

C. x = 4, y = 1

D. x = 1, y = 4

Correct Answer: A

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Question 8

A country's GDP is given by the equation Y = C + I + G, where Y is GDP, C is consumption, I is investment, and G is government sp\ending. If the country's GDP is $100 billion, consumption is $60 billion, investment is $20 billion, and government sp\ending is $10 billion, what is the value of the marginal propensity to consume?

A. 0.5

Correct B. 0.6

C. 0.7

D. 0.8

Correct Answer: B

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Question 9

A firm's demand function for a good is given by Q = 100 - 2P, where Q is quantity demanded and P is price. If the firm's marginal revenue is $20, what is the optimal price?

A. $40

Correct B. $50

C. $60

D. $70

Correct Answer: B

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Question 10

A country's inflation rate is given by the equation π = $ M/P $ * $ ΔQ/Q $, where π is inflation rate, M is money supply, P is price level, ΔQ is change in quantity, and Q is quantity. If the country's inflation rate is 5%, money supply is $100 billion, price level is $50, change in quantity is 10%, and quantity is 100, what is the value of the velocity of money?

A. 2

B. 3

Correct C. 4

D. 5

Correct Answer: C

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Question 11

Suppose the demand for a product is given by the equation Qd = 100 - 2P, where Qd is the quantity demanded and P is the price. If the price elasticity of demand is -2, what is the percentage change in quantity demanded when the price increases by 10%?

Correct A. 20%

B. 30%

C. 40%

D. 50%

Correct Answer: A

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Question 12

A firm produces two goods, A and B, u\sing two inputs, labor and capital. The production function for good A is given by Q_A = 2L^0.5K^0.5, where Q_A is the quantity of good A produced, L is the amount of labor used, and K is the amount of capital used. If the firm uses 4 units of labor and 9 units of capital, what is the marginal product of labor?

A. 0.5

B. 1

Correct C. 1.5

D. 2

Correct Answer: C

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Question 13

Consider the following table showing the exports and imports of a country over a period of 5 years:\n\n| Year | Exports | Imports |\n| --- | --- | --- |\n| 2018 | 100 | 80 |\n| 2019 | 120 | 100 |\n| 2020 | 150 | 120 |\n| 2021 | 180 | 140 |\n| 2022 | 200 | 160 |\n\nWhat is the balance of trade for the country in 2022?

A. 20

B. 30

C. 40

Correct D. 50

Correct Answer: D

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Question 14

A firm has a \cost function given by C(Q) = 100 + 2Q, where C(Q) is the total \cost and Q is the quantity produced. If the firm produces 20 units, what is the total revenue?

A. 200

B. 300

C. 400

Correct D. 500

Correct Answer: D

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Question 15

Consider the following diagram showing the supply and demand curves for a product:\n\n[Diagram: Supply and Demand Curves]\n\nIf the price elasticity of supply is 2 and the price elasticity of demand is -2, what is the equilibrium price?

A. 10

B. 20

Correct C. 30

D. 40

Correct Answer: C

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Question 16

A firm's demand for labor is given by the equation Qd = 1000L^$ -0.5 $, where Qd is the quantity demanded and L is the wage rate. If the wage rate increases by 20%, calculate the percentage change in the quantity demanded.

A. 10%

Correct B. 20%

C. 30%

D. 40%

Correct Answer: B

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Question 17

The supply of a commodity is given by the equation Qs = 2000 + 50P, where Qs is the quantity supplied and P is the price. If the price increases by 15%, calculate the percentage change in the quantity supplied.

A. 7.5%

B. 10%

Correct C. 12.5%

D. 15%

Correct Answer: C

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Question 18

A country's balance of payments is given by the equation BOP = X - M, where BOP is the balance of payments, X is the value of exports, and M is the value of imports. If the value of exports increases by 20% and the value of imports increases by 15%, calculate the percentage change in the balance of payments.

A. 2.5%

B. 5%

Correct C. 7.5%

D. 10%

Correct Answer: C

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Question 19

A firm's production function is given by the equation Q = 100K^0.5L^0.5, where Q is the quantity produced, K is the capital stock, and L is the labor input. If the capital stock increases by 25% and the labor input increases by 20%, calculate the percentage change in the quantity produced.

A. 12.5%

B. 15%

Correct C. 17.5%

D. 20%

Correct Answer: C

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Question 20

A country's inflation rate is given by the equation π = $ P - P^* $ / P^*, where π is the inflation rate, P is the current price level, and P^* is the price level in the previous period. If the current price level increases by 10% and the price level in the previous period is 100, calculate the inflation rate.

A. 5%

B. 7.5%

Correct C. 10%

D. 12.5%

Correct Answer: C

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Question 21

Consider a firm operating in a perfectly competitive market with cons\tant returns to scale. If the firm's average \cost curve intersects the demand curve at a point where the quantity supplied is 100 units, and the price is ₦100, what is the total revenue of the firm?

A. ₦10,000

Correct B. ₦20,000

C. ₦30,000

D. ₦40,000

Correct Answer: B

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Question 22

A government imposes a tax of ₦10 on every unit of a good sold. If the supply curve of the good is given by Q = 2P - 20, and the demand curve is given by Q = 100 - P, what is the new equilibrium price and quantity after the tax is imposed?

A. P = ₦30, Q = 20

B. P = ₦40, Q = 30

Correct C. P = ₦50, Q = 40

D. P = ₦60, Q = 50

Correct Answer: C

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Question 23

A firm's \cost function is given by C(Q) = 2Q^2 + 10Q + 100. If the firm produces 20 units of the good, what is the total \cost of production?

A. ₦1,200

B. ₦1,500

Correct C. ₦2,000

D. ₦2,500

Correct Answer: C

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Question 24

A government's budget constraint is given by B = T + G, where B is the budget, T is the tax revenue, and G is the government exp\enditure. If the government collects ₦100 in tax revenue and sp\ends ₦150 on goods and services, what is the government's budget deficit?

A. ₦50

B. ₦100

Correct C. ₦150

D. ₦200

Correct Answer: C

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Question 25

A firm's revenue function is given by R(Q) = 2Q^2 - 10Q + 100. If the firm produces 20 units of the good, what is the total revenue?

A. ₦1,200

B. ₦1,500

Correct C. ₦2,000

D. ₦2,500

Correct Answer: C

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