Jane’s consumption of pizza rises from 4 per week to 6 per week when the price falls from $11 to $9. Her price elasticity of demand for pizza (using the mid-point formula) equalsSelected answer will be automatically saved. For keyboard navigation, press up/down arrow keys to select an answer.a-0.20b-1c-2d-0.5e-5
Question
Jane’s consumption of pizza rises from 4 per week to 6 per week when the price falls from 9. Her price elasticity of demand for pizza (using the mid-point formula) equalsSelected answer will be automatically saved. For keyboard navigation, press up/down arrow keys to select an answer.a-0.20b-1c-2d-0.5e-5
Solution
The price elasticity of demand using the mid-point formula is calculated as follows:
Step 1: Calculate the percentage change in quantity demanded. The formula is:
(Q2 - Q1) / [(Q2 + Q1) / 2]
Where Q1 is the initial quantity demanded and Q2 is the final quantity demanded.
In this case, Q1 is 4 pizzas and Q2 is 6 pizzas.
So, the percentage change in quantity demanded is:
(6 - 4) / [(6 + 4) / 2] = 2 / 5 = 0.4 or 40%
Step 2: Calculate the percentage change in price. The formula is:
(P2 - P1) / [(P2 + P1) / 2]
Where P1 is the initial price and P2 is the final price.
In this case, P1 is 9.
So, the percentage change in price is:
(9 - 11) / [(9 + 11) / 2] = -2 / 10 = -0.2 or -20%
Step 3: Calculate the price elasticity of demand. The formula is:
Percentage change in quantity demanded / Percentage change in price
So, the price elasticity of demand is:
0.4 / -0.2 = -2
Therefore, the price elasticity of demand for pizza is -2, which corresponds to option c.
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