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Rate of Change, Marginal Cost & Revenue · Question 35 of 79

Question 35

EasyOriginal question

The total cost of making xx units is C(x)=x210+6x+200C(x) = \frac{x^{2}}{10} + 6 x + 200 rupees. What is the marginal cost when 50 units are made?

Options for question 35

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Marginal cost MC=C′(x)=x5+6MC = C'(x) = \frac{x}{5} + 6.

  2. At x=50x = 50: 1616 rupees per unit.

Worth noting

₹11 differentiates 0.1x20.1x^{2} as 0.1x0.1x, forgetting the factor 2.

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