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Rate of Change, Marginal Cost & Revenue · Question 36 of 79

What is the factory's marginal cost at 10 radios a day?

Question 36

EasyOriginal question

A factory's cost of making xx radios a day is C(x)=500+40x−0.6x2+0.01x3C(x) = 500 + 40x - 0.6x^{2} + 0.01x^{3} rupees.

What is the factory's marginal cost at 10 radios a day?

Options for question 36

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. MC=40−1.2x+0.03x2MC = 40 - 1.2x + 0.03x^{2}.

  2. At x=10x = 10: 40−12+3=3140 - 12 + 3 = 31 rupees.

Worth noting

₹37 differentiates −0.6x2-0.6x^{2} as −0.6x-0.6x, dropping the factor 2.

Concept
Marginal cost of a cubic cost
Typical time
90 s
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