Chapter 9, Problem 102RE

### Mathematical Applications for the ...

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

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=40xâˆ’0.02x2.

Formula used:

The simple power rule for the derivative,

ddx(xn)=nxnâˆ’1

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=40xâˆ’0.02x2.

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

ddx(R)=ddx(40xâˆ’0

(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