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Consumer & Producer Surplus · Question 4 of 70

What is the workshop's daily revenue function?

Question 4

EasyOriginal question

A workshop's marginal cost is MC=6+2xMC = 6 + 2x and its marginal revenue is MR=30−4xMR = 30 - 4x, in rupees, for xx items a day. Its fixed cost is ₹20 a day.

What is the workshop's daily revenue function?

Options for question 4

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. R(x)=∫(30−4x) dx=30x−2x2+kR(x) = \int (30 - 4x)\,dx = 30x - 2x^{2} + k.

  2. Selling nothing earns nothing, so R(0)=0R(0) = 0 and k=0k = 0.

Worth noting

Adding 20 borrows the fixed cost; revenue starts at zero.

Concept
Revenue from marginal revenue
Typical time
90 s
Your time
—
The rule this testsTotal cost from marginal cost
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.