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Rate of Change, Marginal Cost & Revenue · Question 43 of 79

What is the lowest marginal cost the factory reaches?

Question 43

MediumOriginal question

A factory's cost of making $x$ radios a day is $C(x) = 500 + 40x - 0.6x^{2} + 0.01x^{3}$ rupees.

What is the lowest marginal cost the factory reaches?

₹28Correct answerYour answer₹29Correct answerYour answer₹31Correct answerYour answer₹40Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

At $x = 20$ : $MC = 40 - 24 + 0.03(400)$ .
$40 - 24 + 12 = 28$ rupees.

Worth noting

₹22 takes $0.03(400)$ as 6.

Concept: The minimum value of marginal cost
Typical timeTypical: 120 s
Your timeYours: —

The rule this testsMarginal cost

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