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Consumer & Producer Surplus · Question 66 of 70

In a market, demand is p = 20 - x and supply is p = 2 + 2x.

Question 66

HardOriginal question

In a market, demand is p=20−xp = 20 - x and supply is p=2+2xp = 2 + 2x. Match each quantity at equilibrium in List I with its value in List II.

List IList II
A. Consumer surplusI. ₹84
B. Producer surplusII. ₹18
C. Amount spent, p0x0p_0x_0III. ₹54
D. Total surplusIV. ₹36
Options for question 66

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Equilibrium: 20−x=2+2x20 - x = 2 + 2x, so x0=6x_0 = 6, p0=14p_0 = 14, and p0x0=84p_0x_0 = 84.

  2. CS=12×6×(20−14)=18CS = \frac{1}{2} \times 6 \times (20 - 14) = 18; PS=12×6×(14−2)=36PS = \frac{1}{2} \times 6 \times (14 - 2) = 36; total 18+36=5418 + 36 = 54.

Concept
Surpluses in one market
Typical time
150 s
Your time
—
The rule this testsProducer surplus
Practise this chapter →

Ten questions from Consumer & Producer Surplus, at your own pace.

Practise this chapter →

Ten questions from Consumer & Producer Surplus, at your own pace.