Assertion (A): If $C(x) = 500 + 8x$ , the marginal cost is the same at every level of output.
Reason (R): The derivative of a linear function is a constant.

Both A and R are true, and R is the correct explanation of A.Correct answerYour answerBoth A and R are true, but R is not the correct explanation of A.Correct answerYour answerA is true, but R is false.Correct answerYour answerA is false, but R is true.Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

$C'(x) = 8$ for every $x$ : each extra unit costs ₹8. A is true.
R is the reason the marginal cost does not change, so R explains A.

Concept: Marginal cost of a linear cost
Typical timeTypical: 60 s
Your timeYours: —

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.

Practise this chapter All 79 questions in Rate of Change, Marginal Cost & Revenue Revise the notes for Rate of Change, Marginal Cost & Revenue

Assertion (A): If C(x)=500+8xC(x) = 500 + 8xC(x)=500+8x, the marginal cost is the same at every level of output.Reason (R): The derivative of a linear function is a constant.

Explanation

Assertion (A): If $C(x) = 500 + 8x$ , the marginal cost is the same at every level of output.
Reason (R): The derivative of a linear function is a constant.