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Rate of Change, Marginal Cost & Revenue · Question 62 of 79

Question 62

HardOriginal question

The demand for a product is x=100−2px = 100 - 2p, where pp is the price in rupees. What is the marginal revenue when 20 units are sold?

Options for question 62

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Solve for the price: p=50−x2p = 50 - \frac{x}{2}, so R(x)=50x−x22R(x) = 50x - \frac{x^{2}}{2}.

  2. MR=50−xMR = 50 - x; at x=20x = 20, 30 rupees.

Worth noting

₹40 is the price at 20 units, 50−1050 - 10.

Concept
Marginal revenue from demand written for x
Typical time
120 s
Your time
—
The rule this testsMarginal revenue
Practise this chapter →

Ten questions from Rate of Change, Marginal Cost & Revenue, at your own pace.

Practise this chapter →

Ten questions from Rate of Change, Marginal Cost & Revenue, at your own pace.