Chapter 7.9, Problem 33E

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

Chapter
Section

Calculus: An Applied Approach (Min...

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

Average Revenue A company sells two products whose demand functions are given by x 1 = 500 − 3 p 1     and     x 2 = 750 − 2.4 p 2 . The total revenue is given by R = x 1 p 1 + x 2 p 2 . Estimate the average revenue when price p1 varies between $50 and$75 and price p2 varies between $100 and$150.

To determine

To calculate: The average revenue of company sell two product p1 varies between $50 and$75 units and p2 varies between $100 and$150 units.

Explanation

Given information:

The average revenue R=x1p1+x2p2 of company sell two product x1 and x2 that demand varies as x1=5003p1 and x2=7502.4p2, where p1 varies between $50 and$75 units and p2 varies between $100 and$150 units.

Formula used:

The average value of integrable function z=f(x,y) over the region R with area A is

Average value=1ARf(x,y)dxdy

Calculation:

Consider revenue function of company,

R=x1p1+x2p2

Here x1=5003p1, x2=7502.4p2 and. Where p1 varies between $50 and$75 units and p2 varies between $100 and$150 units.

Substitute, 5003p1 for x1 and 7502.4p2 for x2 in revenue function,

R=(5003p1)p1+(7502.4p2)p2=500p13p12+750p22.4p22

The area of region between p1 varies between $50 and$75 units and p2 varies between $100 and$150 units is 1250 units.

Now apply, the formula of the average value of integrable function R=500p13p12+750p22.4p22 with p1 varies between $50 and$75 units and p2 varies between $100 and$150 units is 1250 units.

Average value=112501001505075(500p13p12+750p22

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)

Find the value of the sum. 25. n=120(1)n

Single Variable Calculus: Early Transcendentals, Volume I

In Problems 35-42, simplify each complex fraction. 36.

Mathematical Applications for the Management, Life, and Social Sciences

Evaluate 6 8 24 30

Study Guide for Stewart's Multivariable Calculus, 8th

For f(x) = tanh1 2x, f(x) = a) 2(sech1 2x)2 b) 2(sech2 2x)1 c) 214x2 d) 114x2

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Let fx=2x and gx=x. Find each value. gf8

College Algebra (MindTap Course List)

Identify and describe the content of each section of an APA-style research report.

Research Methods for the Behavioral Sciences (MindTap Course List)