A cinema sells 1 000 tickets per week. The price elasticity of demand is −0.4. If the ticket price is cut 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 10%, the quantity demanded rises by 5%. Find the price elasticity of demand E.
%ΔP = −10%%ΔQ = +5%
E =
3.Medium
When the price of a ticket changes from €4.00 to €4.50, weekly sales change from 200 to 160. Use the midpoint (arc) method to find the price elasticity of demand E.
P1 = €4.00P2 = €4.50Q1 = 200Q2 = 160
E =
4.Medium
When the price of a ticket changes from €20.00 to €16.00, weekly sales change from 800 to 990. Use the midpoint (arc) method to find the price elasticity of demand E.
P1 = €20.00P2 = €16.00Q1 = 800Q2 = 990
E =
5.Hard
The demand for a product is Q = 5000 − 50P, with P in euros. Find the price elasticity of demand E at a price of €70.
Q = 5000 − 50PP = €70
E =
6.Hard
The demand for a product is Q = 300 − 5P, with P in euros. At which price P is total revenue as large as possible?
Q = 300 − 5P
P = €
Answer key
- 1. Q = 1040 tickets
- 2. E = −0.5
- 3. E = −1.889
- 4. E = −0.9553
- 5. E = −2.333
- 6. P = 30 €
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