Question 1Multiple choicePrice elasticity of demand & supply
A cinema raises its ticket price from $8 to $12, and weekly attendance falls from 300 tickets to 200 tickets. Using the midpoint (arc) method, what is the price elasticity of demand over this range (in absolute value), and what happens to the cinema's weekly ticket revenue?
- A.
0.67; revenue rises
- B.
1.0; revenue is unchanged
- C.
1.5; revenue falls
- D.
0.40; revenue rises
Worked solution
The midpoint method measures each percentage change against the average of the two values, so the elasticity is the same whichever direction the price moves.
Percentage change in quantity:
Percentage change in price:
Elasticity: , or in absolute value. Demand is unit elastic over this range.
Revenue check. Before: $8 × 300 = $2,400. After: $12 × 200 = $2,400. Revenue is unchanged, exactly as unit elasticity predicts: the 40% fall in quantity cancels the 40% rise in price.
Option A (0.67) is what you get by dividing each change by the starting value ( against ); option C (1.5) uses the ending values ( against ). Both apply the point-elasticity shortcut to a large change, and they give different answers depending on direction, which is exactly the problem the midpoint method avoids. Option D reports the percentage change in quantity alone and is not an elasticity.
Answer: B — elasticity 1.0 (unit elastic), revenue unchanged at $2,400 per week.