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Rate of Change, Marginal Cost & Revenue · Question 24 of 79

Question 24

MediumOriginal question

The cost of making xx units is C(x)=2x2+10x+200C(x) = 2x^{2} + 10x + 200 rupees. What is the average cost per unit when 20 units are made?

Options for question 24

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. C(20)=800+200+200=1,200C(20) = 800 + 200 + 200 = 1{,}200 rupees.

  2. Average cost =C(20)20=1,20020=60= \frac{C(20)}{20} = \frac{1{,}200}{20} = 60 rupees per unit.

Worth noting

₹90 is the marginal cost C′(20)=4x+10C'(20) = 4x + 10, the cost of one more unit, not the average.

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