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Rate of Change, Marginal Cost & Revenue · Question 34 of 79

Question 34

EasyOriginal question

The total cost of making xx units is C(x)=x3−3x2+15x+200C(x) = x^{3} - 3 x^{2} + 15 x + 200 rupees. What is the marginal cost when 5 units are made?

Options for question 34

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Marginal cost MC=C′(x)=3x2−6x+15MC = C'(x) = 3 x^{2} - 6 x + 15.

  2. At x=5x = 5: 6060 rupees per unit.

Worth noting

₹275 is C(5)C(5), the total cost.

Concept
Marginal cost at a level of output
Typical time
60 s
Your time
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The rule this testsMarginal cost
Practise this chapter →

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

Practise this chapter →

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