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Chain Rule, Log Differentiation & Rate of Change · Question 109 of 130

Question 109

EasyOriginal question

A workshop's cost of making xx chairs is C(x)=0.02x2+8x+300C(x) = 0.02x^{2} + 8x + 300 rupees. What is the marginal cost when 50 chairs are made?

Options for question 109

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. C′(x)=0.04x+8C'(x) = 0.04x + 8.

  2. At 50: 2+8=102 + 8 = 10 rupees.

Worth noting

₹750 is C(50)C(50), the cost itself.

Concept
Marginal cost as a rate of change
Typical time
60 s
Your time
—
The rule this testsRate of change of quantities
Practise this chapter →

Ten questions from Chain Rule, Log Differentiation & Rate of Change, at your own pace.

Practise this chapter →

Ten questions from Chain Rule, Log Differentiation & Rate of Change, at your own pace.