EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Rate of Change, Marginal Cost & Revenue · Question 40 of 79

Question 40

MediumOriginal question

The cost of making xx units is C(x)=100+40xC(x) = 100 + 40\sqrt{x} rupees. What is the marginal cost when 25 units are made?

Options for question 40

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. C′(x)=40×12x=20xC'(x) = 40 \times \frac{1}{2\sqrt{x}} = \frac{20}{\sqrt{x}}.

  2. At x=25x = 25: 205=4\frac{20}{5} = 4 rupees.

Worth noting

₹8 forgets the 12\frac{1}{2} from differentiating x\sqrt{x}.

Concept
Marginal cost with a square root
Typical time
90 s
Your time
—
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.