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Rate of Change, Marginal Cost & Revenue · Question 29 of 79

Question 29

MediumOriginal question

The cost of making xx units is C(x)=3x2+12x+300C(x) = 3x^{2} + 12x + 300 rupees. What is the average cost per unit when 10 units are made?

Options for question 29

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Average cost =C(x)x=3x+12+300x= \frac{C(x)}{x} = 3x + 12 + \frac{300}{x}.

  2. At x=10x = 10: 30+12+30=7230 + 12 + 30 = 72 rupees per unit.

Worth noting

₹720 is the total cost of 10 units; ₹42 leaves out the fixed cost's share.

Concept
Average cost
Typical time
90 s
Your time
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The rule this testsCost, revenue and profit functions
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