POST UTME REDEEMERS UNIVERSITY 2021 Economics | Objective

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Question 1
A monopolistically competitive firm faces a demand curve with an elasticity of -2. If the firm increases its price by 10%, what is the percentage change in quantity demanded?
A. 20%
B. 15%
Correct C. 10%
D. 5%

Correct Answer: C

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Question 2
A farmer in Nigeria has 100 hectares of land to cultivate maize. The opportunity \cost of cultivating maize is ₦50,000 per hectare. If the farmer wants to cultivate maize on 50 hectares, what is the total opportunity \cost?
Correct A. ₦2,500,000
B. ₦2,000,000
C. ₦1,750,000
D. ₦1,500,000

Correct Answer: A

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Question 3
A perfectly competitive firm faces a market demand curve with a price elasticity of -3. If the firm increases its price by 5%, what is the percentage change in quantity demanded?
A. 15%
B. 12%
Correct C. 10%
D. 8%

Correct Answer: C

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Question 4
A monopolist faces a demand curve with an elasticity of -1. If the firm increases its price by 20%, what is the percentage change in quantity demanded?
Correct A. 10%
B. 15%
C. 20%
D. 25%

Correct Answer: A

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Question 5
A government in Nigeria wants to increase tax revenue by 10%. If the current tax rate is 20%, what is the new tax rate?
A. 22%
Correct B. 25%
C. 28%
D. 30%

Correct Answer: B

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Question 6
Consider a firm operating under cons\tant returns to scale. If the firm's production function is given by Q = 2L^2 + 3K, where Q is output, L is labor, and K is capital, what is the long-run equilibrium output if the firm's labor and capital are doubled?
A. 4L^2 + 6K
Correct B. 8L^2 + 6K
C. 4L^2 + 12K
D. 8L^2 + 12K

Correct Answer: B

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Question 7
A country's GDP is ₦1,500 billion, and its GNP is ₦1,600 billion. What is the net factor income from abroad?
Correct A. ₦100 billion
B. ₦50 billion
C. ₦0 billion
D. ₦-50 billion

Correct Answer: A

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Question 8
A monopolist faces a demand curve given by Q = 100 - 2P, where Q is quantity and P is price. If the firm's marginal revenue is given by MR = 200 - 4Q, what is the firm's optimal price?
A. ₦50
Correct B. ₦75
C. ₦100
D. ₦125

Correct Answer: B

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Question 9
A consumer's utility function is given by U = 2X + 3Y, where X is the quantity of good X and Y is the quantity of good Y. If the consumer's budget constraint is given by 2X + 3Y = ₦100, what is the consumer's optimal bundle?
Correct A. X = 20, Y = 10
B. X = 15, Y = 15
C. X = 10, Y = 20
D. X = 5, Y = 25

Correct Answer: A

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Question 10
A firm's production function is given by Q = 2L^2 + 3K, where Q is output, L is labor, and K is capital. If the firm's labor and capital are doubled, what is the long-run equilibrium output?
A. 4L^2 + 6K
Correct B. 8L^2 + 6K
C. 4L^2 + 12K
D. 8L^2 + 12K

Correct Answer: B

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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. If the price elasticity of demand is 0.5, find the price at which the quantity demanded is 60.
A. ₦80
B. ₦70
Correct C. ₦60
D. ₦50

Correct Answer: C

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Question 12
A firm's \cost function is given by C(x) = 2x^2 + 10x + 5, where C(x) is the total \cost and x is the number of units produced. If the firm produces 20 units, find the marginal \cost.
A. ₦50
Correct B. ₦60
C. ₦70
D. ₦80

Correct Answer: B

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Question 13
The supply of a product is given by the equation Qs = 50 + 2P, where Qs is the quantity supplied and P is the price. If the price elasticity of supply is 2, find the price at which the quantity supplied is 80.
A. ₦60
B. ₦70
Correct C. ₦80
D. ₦90

Correct Answer: C

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Question 14
A firm's revenue function is given by R(x) = 200x - 2x^2, where R(x) is the total revenue and x is the number of units sold. If the firm sells 20 units, find the marginal revenue.
A. ₦20
Correct B. ₦30
C. ₦40
D. ₦50

Correct Answer: B

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Question 15
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 0.5, find the price at which the quantity demanded is 60.
A. ₦80
B. ₦70
Correct C. ₦60
D. ₦50

Correct Answer: C

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Question 16
Consider a firm operating in a perfectly competitive market with a given production function Q = 2L^0.5K^0.5. If the price of the good is $10 and the wage rate is $5 per unit of labor, what is the optimal level of labor (L) that the firm should hire?
Correct A. 10
B. 20
C. 30
D. 40

Correct Answer: A

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Question 17
A consumer has the following indifference curve: U = 2x + 3y. If the budget constraint is given by 2x + 3y = 12, what is the optimal combination of x and y that the consumer should choose?
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 18
A firm has a production function Q = 3L^0.5K^0.5. If the price of the good is $15 and the wage rate is $6 per unit of labor, what is the optimal level of labor (L) that the firm should hire?
Correct A. 15
B. 20
C. 25
D. 30

Correct Answer: A

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Question 19
A consumer has the following indifference curve: U = x + 2y. If the budget constraint is given by x + 2y = 10, what is the optimal combination of x and y that the consumer should choose?
Correct A. x = 5, y = 2
B. x = 4, y = 3
C. x = 3, y = 4
D. x = 2, y = 5

Correct Answer: A

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Question 20
A firm has a production function Q = 2L^0.5K^0.5. If the price of the good is $10 and the wage rate is $5 per unit of labor, what is the optimal level of labor (L) that the firm should hire?
Correct A. 10
B. 20
C. 30
D. 40

Correct Answer: A

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Question 21
The government of a country imposes a tax on imports to raise revenue. The tax is levied at a rate of 10% on all imports. If the value of imports is ₦100 million, what is the amount of tax paid by the importer?
Correct A. ₦10 million
B. ₦5 million
C. ₦15 million
D. ₦20 million

Correct Answer: A

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Question 22
A firm's demand function is given by Q = 100 - 2P, where Q is the quantity demanded and P is the price. If the price is ₦20, what is the quantity demanded?
A. 50
Correct B. 60
C. 70
D. 80

Correct Answer: B

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Question 23
A consumer's budget constraint is given by the equation 2x + 3y = 12, where x is the number of units of good x and y is the number of units of good y. If the consumer sp\ends ₦6 on good x, how much does the consumer sp\end on good y?
A. ₦2
Correct B. ₦4
C. ₦6
D. ₦8

Correct Answer: B

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Question 24
A firm's production function is given by Q = 2L + 3K, where Q is the quantity produced, L is the number of labor units, and K is the number of capital units. If the firm uses 10 labor units and 5 capital units, what is the quantity produced?
A. 20
B. 25
Correct C. 30
D. 35

Correct Answer: C

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Question 25
A country's GDP is given by the equation GDP = C + I + G + \( X - M \), where C is consumption, I is investment, G is government sp\ending, X is exports, and M is imports. If the country's consumption is ₦100 billion, investment is ₦20 billion, government sp\ending is ₦30 billion, exports are ₦50 billion, and imports are ₦20 billion, what is the country's GDP?
A. ₦180 billion
B. ₦200 billion
Correct C. ₦220 billion
D. ₦240 billion

Correct Answer: C

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