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Consumer & Producer Surplus · Question 21 of 70

Question 21

MediumOriginal question

The marginal revenue is MR=100−2xMR = 100 - 2x rupees. By how much does total revenue rise when sales go up from 10 to 20 units?

Options for question 21

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. ∫1020(100−2x) dx=[100x−x2]1020\int_{10}^{20} (100 - 2x)\,dx = \left[100x - x^{2}\right]_{10}^{20}.

  2. =(2,000−400)−(1,000−100)=700= (2{,}000 - 400) - (1{,}000 - 100) = 700 rupees.

Worth noting

₹1,600 is the revenue from all 20 units; ₹900 is from the first 10.

Concept
The extra revenue from more sales
Typical time
90 s
Your time
—
The rule this testsRevenue and demand from marginal revenue
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.