A cinema sells 1 000 tickets per week. The price elasticity of demand is −0.4. If the ticket price rises by 10%, how many tickets Q will it sell per week?
Price elasticity of demand worksheet with answers
1.Easy
Q1 = 1 000E = −0.4%ΔP = +10%
Q = tickets
2.Easy
When the price of a product falls by 12%, the quantity demanded rises by 4.8%. Find the price elasticity of demand E.
%ΔP = −12%%ΔQ = +4.8%
E =
3.Medium
When the price of a ticket changes from €25.00 to €27.00, weekly sales change from 100 to 90. Use the midpoint (arc) method to find the price elasticity of demand E.
P1 = €25.00P2 = €27.00Q1 = 100Q2 = 90
E =
4.Medium
When the price of a ticket changes from €25.00 to €23.00, weekly sales change from 800 to 880. Use the midpoint (arc) method to find the price elasticity of demand E.
P1 = €25.00P2 = €23.00Q1 = 800Q2 = 880
E =
5.Hard
The demand for a product is Q = 500 − 5P, with P in euros. At which price P is total revenue as large as possible?
Q = 500 − 5P
P = €
6.Hard
The demand for a product is Q = 2500 − 25P, with P in euros. At which price P is total revenue as large as possible?
Q = 2500 − 25P
P = €
Answer key
- 1. Q = 960 tickets
- 2. E = −0.4
- 3. E = −1.368
- 4. E = −1.143
- 5. P = 50 €
- 6. P = 50 €
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