Chapter 10.4, Problem 12E

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

** Revenue** A newly released film has its weekly revenue given by

*R* is in millions of dollars and *t* is in weeks.

(a) After how many weeks will the weekly revenue be maximized?

(b) What is the maximum weekly revenue?

**(a)**

To determine

**To calculate:** The number of weeks after which the weekly revenue be maximized.

Explanation

**Given Information:**

The equation for weekly revenue is given as

Where, *R* is in millions of dollars and

**Formula used:**

To find the maximum value, calculate the relevant stationary value of an equation. Differentiate the function with respect to the independent variable and equate it to

Quotient rule gives the derivative of a function when one differentiable function is divided by the other. To find the derivative of a function

**Calculation:**

The equation for weekly revenue is given as

**(b)**

To determine

**To calculate:** The amount of maximum weekly revenue.

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