Chapter 10.3, Problem 25E

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

If the profit function for a product is
*x*, will produce a maximum profit? Find the maximum profit.

To determine

**To calculate:** The maximum profit of the provided profit function

Explanation

**Given Information:**

The provided profit function is:

**Formula used:**

If

And,

Where,

To evaluate the relative maxima and minima of a function,

Step 1: Evaluate the critical values of the function.

Step 2: Now substitute the critical values into

Step 3: Evaluate

If *a*.

If *a*.

If

**Calculation:**

Consider the provided profit function:

The absolute maxima and absolute minima will occur only at the critical points.

To calculate the critical points of the provided function find the first derivative of the function:

If

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