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Consumer & Producer Surplus · Question 45 of 70

The figure shows the demand curve p = 30 - 2x and the market price ₹18.

Question 45

MediumOriginal question

The figure shows the demand curve p=30−2xp = 30 - 2x and the market price ₹18. What is the area of the shaded region, the consumer surplus?

Demand curve p = 30 − 2x falling from (0, 30), a dashed price line p = 18, meeting at (6, 18); the triangle between the curve and the price line from x = 0 to 6 is shaded.
Options for question 45

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. The price line meets the demand curve where 30−2x=1830 - 2x = 18, at x0=6x_0 = 6.

  2. The shaded triangle has base 6 and height 30−18=1230 - 18 = 12: area 12×6×12=36\frac{1}{2} \times 6 \times 12 = 36 rupees.

Worth noting

₹108 is the rectangle under the price line, what consumers pay, not the surplus above it.

Concept
Reading consumer surplus from a figure
Typical time
90 s
Your time
—
The rule this testsConsumer surplus
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Ten questions from Consumer & Producer Surplus, at your own pace.

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