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Consumer & Producer Surplus · Question 6 of 70

Question 6

MediumOriginal question

The marginal cost is MC=6x+8MC = 6x + 8 rupees. By how much does the total cost rise when output goes up from 10 to 20 units?

Options for question 6

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. The rise in cost is ∫1020(6x+8) dx=[3x2+8x]1020\int_{10}^{20} (6x + 8)\,dx = \left[3x^{2} + 8x\right]_{10}^{20}.

  2. =(1,200+160)−(300+80)=980= (1{,}200 + 160) - (300 + 80) = 980 rupees. The fixed cost cancels out.

Worth noting

₹1,360 is the cost of the first 20 units from nothing, not the rise from 10.

Concept
The extra cost of raising output
Typical time
90 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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