A cinema sells 1 000 tickets per week. The price elasticity of demand is −0.4. If the ticket price rises by 5%, how many tickets Q will it sell per week?
Price elasticity of demand worksheet with answers
1.Easy
Q1 = 1 000E = −0.4%ΔP = +5%
Q = tickets
2.Easy
When the price of a product falls by 20%, the quantity demanded rises by 50%. Find the price elasticity of demand E.
%ΔP = −20%%ΔQ = +50%
E =
3.Medium
When the price of a ticket changes from €8.00 to €10.50, weekly sales change from 1000 to 380. Use the midpoint (arc) method to find the price elasticity of demand E.
P1 = €8.00P2 = €10.50Q1 = 1000Q2 = 380
E =
4.Medium
When the price of a ticket changes from €5.00 to €5.50, weekly sales change from 1000 to 920. Use the midpoint (arc) method to find the price elasticity of demand E.
P1 = €5.00P2 = €5.50Q1 = 1000Q2 = 920
E =
5.Hard
The demand for a product is Q = 1250 − 25P, with P in euros. At which price P is total revenue as large as possible?
Q = 1250 − 25P
P = €
6.Hard
The demand for a product is Q = 160 − 2P, with P in euros. Find the price elasticity of demand E at a price of €16.
Q = 160 − 2PP = €16
E =
Answer key
- 1. Q = 980 tickets
- 2. E = −2.5
- 3. E = −3.325
- 4. E = −0.875
- 5. P = 25 €
- 6. E = −0.25
Full step-by-step solutions: practise this topic on examproblems.com.