A cinema sells 800 tickets per week. The price elasticity of demand is −2. If the ticket price is cut by 4%, how many tickets Q will it sell per week?
Price elasticity of demand worksheet with answers
1.Easy
Q1 = 800E = −2%ΔP = −4%
Q = tickets
2.Easy
When the price of a product falls by 4%, the quantity demanded rises by 0.8%. Find the price elasticity of demand E.
%ΔP = −4%%ΔQ = +0.8%
E =
3.Medium
When the price of a ticket changes from €20.00 to €24.00, weekly sales change from 400 to 300. Use the midpoint (arc) method to find the price elasticity of demand E.
P1 = €20.00P2 = €24.00Q1 = 400Q2 = 300
E =
4.Medium
When the price of a ticket changes from €2.00 to €3.50, weekly sales change from 400 to 40. Use the midpoint (arc) method to find the price elasticity of demand E.
P1 = €2.00P2 = €3.50Q1 = 400Q2 = 40
E =
5.Hard
The demand for a product is Q = 600 − 10P, with P in euros. At which price P is total revenue as large as possible?
Q = 600 − 10P
P = €
6.Hard
The demand for a product is Q = 300 − 5P, with P in euros. Find the price elasticity of demand E at a price of €18.
Q = 300 − 5PP = €18
E =
Answer key
- 1. Q = 864 tickets
- 2. E = −0.2
- 3. E = −1.571
- 4. E = −3
- 5. P = 30 €
- 6. E = −0.4286
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