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Consumer & Producer Surplus · Question 52 of 70

Question 52

HardOriginal question

The demand function is p=45−x2p = 45 - x^{2} and the market price is ₹36. What is the consumer surplus?

Options for question 52

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. The market clears at x0=3x_0 = 3, p0=36p_0 = 36.

  2. CS=∫03(45−x2) dx−36×3=126−108=18CS = \int_0^{3} (45 - x^{2})\,dx - 36 \times 3 = 126 - 108 = 18.

Worth noting

₹27 treats the demand curve as a straight line from (0, 45) to (3, 36); the curve bends.

Concept
Consumer surplus for a curved demand
Typical time
120 s
Your time
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The rule this testsConsumer surplus
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