   Chapter 7.4, Problem 62E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
1 views

# Marginal Revenue A pharmaceutical corporation has two locations that produce the same over-the-counter medicine. If x1 and x2 are the numbers of units produced at Location 1 and Location 2, respectively, then the total revenue for the product is given by R = 200 x 1 + 200 x 2 − 4 x 1 2 − 8 x 1 x 2 − 4 x 2 2 .When x 1 = 4 and x 2 = 12 , find the marginal revenue for Location 1, ∂ R / ∂ x 1 . the marginal revenue for Location 2, ∂ R / ∂ x 2 .

(a)

To determine

To calculate: The marginal revenue for location 1 that is Rx1 at x1=4 and x2=12 if the total revenue for the product is modeled by R=200x1+200x24x128x1x24x22.

Explanation

Given information:

A pharmaceutical corporation has two locations that produce the medicine and the total revenue for the product is modeled by R=200x1+200x24x128x1x24x22.

Formula used:

Consider the function z=f(x,y) then for the value of zx consider y to be constant and differentiate with respect to x and the value of zy consider x to be constant and differentiate with respect to y.

Calculation:

Consider the provided total revenue function is,

R=200x1+200x24x128x1x24x22

Partially derivative of the function R=200x1+200x24x128x1x24x22 with respect to x1

(b)

To determine

To calculate: The marginal revenue for location 2 that is Rx2 at x1=4 and x2=12 if the total revenue for the product is modeled by R=200x1+200x24x128x1x24x22.

### 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. 2x3x2x3x+1=0

Finite Mathematics and Applied Calculus (MindTap Course List)

#### In Exercises 2340, find the indicated limit. 35. limx2x+2

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### Which property of real numbers is illustrated in each part of problem 3-6? 6. a) b)

Mathematical Applications for the Management, Life, and Social Sciences 