   Chapter 9.9, Problem 7CP ### 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

# If the total profit function for a product is P ( x ) = 20 x + 1 − 2 x − 22 , then the marginal profit and its derivative are M P ¯ = p ' ( x ) 10 x + 1 − 2  and  p " ( x ) = − 5 ( x + 1 ) 3 Is the marginal profit decreasing for all x ≥ 0 ?

To determine

The whether marginal profit decrease for all values of x such that x0, if the profit function is P(x)=20x+12x22, marginal profit P(x)=10x+12, and P(x)=10x+12.

Explanation

Given Information:

The total profits of a product are represented by the function, P(x)=20x+12x22. The marginal profit of the function is MP¯=P(x)=10x+12 and the derivative of the marginal profit is represented as, P(x)=5(x+1)3.

Explanation:

Consider the provided profit function,

P(x)=20x+12x22

The marginal profits of a function represent the profits earned by selling an additional unit of a commodity

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Solve the equations in Exercises 126. 14x2=0

Finite Mathematics and Applied Calculus (MindTap Course List)

#### In Exercises 1-6, simplify the expression. 818

Calculus: An Applied Approach (MindTap Course List) 