   Chapter 12.4, Problem 1CP ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# True or false:(a) If ∫ M C ¯   d x , then the constant of integration equals the fixed costs.(b) If ∫ M R ¯   d x , then the constant of integration equals 0.

(a)

To determine

Whether the provided statement “If C(x)=MC¯dx, then the constant of integration is equals to the fixed cost” is true or false.

Explanation

Given information:

The provided statement is:

“If C(x)=MC¯dx, then the constant of integration is equals to the fixed cost”.

Explanation:

The fixed cost is defined as the value of C(0).

Consider the provided statement:

If C(x)=MC¯dx, then the constant of integration is equals to the fixed cost.

It is not necessary that it equals to the constant of integration.

For example if marginal cost is defined as MC=ex and fixed cost is 100 then

C(x)=

(b)

To determine

Whether the provided statement “If R(x)=MR¯dx, then the constant of integration is equals to 0” is true or false.

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