Suppose that your
Price | Quantity Demanded (income = $10,000) | Quantity Demanded (income = $12,000) |
$8 | 40 DVDs | 50 DVDs |
10 | 32 | 45 |
12 | 24 | 30 |
14 | 16 | 20 |
16 | 8 | 12 |
- a. Use the midpoint method to calculate your price elasticity of demand as the price of DVDs increases from $8 to $10 if (i) your income is $10,000 and (ii) your income is $12,000.
- b. Calculate your income elasticity of demand as your income increases from $10,000 to $12,000 if (i) the price is $12 and (ii) the price is $16.
Subpart (a):
Explanation of Solution
- (i) If the income is $10,000, then the price of pizza rises from $8 to $10, and the quantity demanded decreases from 40 to 32. By midpoint method, the price elasticity of demand is calculated as follows:
The price elasticity of demand for pizza is -1.
- (ii) If the income is $12,000, then the price of pizza rises from $8 to $10, and the quantity demanded decreases from 50 to 45. By midpoint method, the price elasticity of demand is calculated as follows:
The price elasticity of demand for pizza is -0.5.
Concept Introduction:
Price elasticity of demand: Price elasticity of demand refers to the percentage change in the demand for goods and services due to change occurred in the price level.
Subpart (b):
Explanation of Solution
- (i) If the price is $12 and an income increases from $10,000 to $24,000, then the quantity demanded increases from 24 to 30. By midpoint method, the income elasticity of demand is calculated as follows:
The income elasticity of demand for pizza is 1.22.
- (ii) If the price is $12 and an income increases from $20,000 to $24,000, then the quantity demanded increases from 24 to 30. By midpoint method, the income elasticity of demand is calculated as follows:
The income elasticity of demand for pizza is 2.22.
Concept Introduction:
Income elasticity of demand: It measures how much quantity demanded of a good responds to the change in consumers’ income.
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Chapter 5 Solutions
Principles of Microeconomics
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