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Consumer & Producer Surplus · Question 14 of 70

Question 14

HardOriginal question

The marginal cost is MC=10+2xMC = 10 + 2x rupees, and the total cost of 5 units is ₹200. What is the fixed cost?

Options for question 14

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. C(x)=10x+x2+kC(x) = 10x + x^{2} + k, where kk is the fixed cost.

  2. C(5)=50+25+k=200C(5) = 50 + 25 + k = 200, so k=125k = 125 rupees.

Worth noting

₹180 subtracts only the marginal cost at 5, MC(5)=20MC(5) = 20, instead of the variable cost of all 5 units.

Concept
The fixed cost from one known cost
Typical time
120 s
Your time
—
The rule this testsTotal cost from marginal cost
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Ten questions from Consumer & Producer Surplus, at your own pace.

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