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Rate of Change, Marginal Cost & Revenue · Question 28 of 79

Question 28

MediumOriginal question

When xx units are sold, each sells at p=100−4xp = 100 - 4x rupees. What is the total revenue function?

Options for question 28

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Revenue is price times quantity: R(x)=x⋅pR(x) = x \cdot p.

  2. R(x)=x(100−4x)=100x−4x2R(x) = x(100 - 4x) = 100x - 4x^{2}.

Worth noting

100−8x100 - 8x is the marginal revenue, R′(x)R'(x).

Concept
Revenue from a demand function
Typical time
90 s
Your time
—
The rule this testsCost, revenue and profit functions
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