For $x$ units, revenue is $R(x) = 100x - 2x^{2}$ and cost is $C(x) = x^{2} + 10x + 50$ rupees. At what output does marginal revenue equal marginal cost?

15 unitsCorrect answerYour answer16 unitsCorrect answerYour answer25 unitsCorrect answerYour answer45 unitsCorrect answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Worth noting

25 units sets $MR = 0$ , which maximises revenue, not profit.

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

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

For xxx units, revenue is R(x)=100x−2x2R(x) = 100x - 2x^{2}R(x)=100x−2x2 and cost is C(x)=x2+10x+50C(x) = x^{2} + 10x + 50C(x)=x2+10x+50 rupees. At what output does marginal revenue equal marginal cost?