   Chapter 9, Problem 102RE Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Solutions

Chapter
Section Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

In Problems 100-107, cost, revenue, and profit are in dollars and x is the number of units.Revenue The total revenue function for a commodity is R = 40 x − 0.02 x 2 , with x representing the number of units.(a) Find the marginal revenue function.(b) At what level of production will marginal revenue be 0?

(a)

To determine

To calculate: The marginal revenue function for a commodity when revenue function is R=40x0.02x2 where x is the number of units produced.

Explanation

Given Information:

The revenue function of the commodity is R=40x0.02x2.

Formula used:

The simple power rule for the derivative,

ddx(xn)=nxn1

The rule of derivative for constant multiplication,

ddx[kf(x)]=kddx[f(x)]

The sum or difference rule of the derivative,

ddx[f(x)+g(x)]=ddx[f(x)]+ddx[g(x)]

Calculation:

Consider the provided revenue function, R=40x0.02x2.

Use the sum or difference rule of the derivative, to differentiate the provided revenue function,

ddx(R)=ddx(40x0

(b)

To determine

To calculate: The level of production at which the marginal revenue is zero where revenue function is R=40x0.02x2 and x is the number of units produced.

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

Find more solutions based on key concepts 