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CalculusCalculus: An Applied Approach (MindTap Course List)10th Edition

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Chapter 7.4, Problem 65E
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Complementary and Substitute Products In Exercises 65 and 66, determine whether the demand functions describe products in the same market that are complementary, substitutes, or neither. Using the notation of Example 4, let x1 and x2 be the demands for two products whose prices per unit (in dollars) are p1 and p2, respectively. See Example 4.

x 1 = 150 − 2 p 1 − 5 2 p 2 , x 2 = 350 − 3 2 p 1 − 3 p 2

To determine

To calculate: The product is complementary, substitute or neither if the demand functions for the two product is x1=150−2p1−52p2 and x2=350−32p1−3p2.

Explanation

Given information:

The provided demand functions for the two product is x1=150−2p1−52p2 and x2=350−32p1−3p2. Where, p1 and p2 are the price and x1 and x2 are the number of units sold.

Formula used:

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

Calculation:

Consider the provided demand function is,

x1=150−2p1−52p2

And,

x2=350−32p1−3p2

Partially derivative of the demand function x1=150−2p1−52p2 with respect to p2.

∂x1∂p2=∂∂p2(150−2p1−52p2)=∂∂p2(150)−

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Sect-7.1 P-1CPSect-7.1 P-2CPSect-7.1 P-3CPSect-7.1 P-4CPSect-7.1 P-5CPSect-7.1 P-6CPSect-7.1 P-7CPSect-7.1 P-1SWUSect-7.1 P-2SWUSect-7.1 P-3SWU
Sect-7.1 P-4SWUSect-7.1 P-5SWUSect-7.1 P-6SWUSect-7.1 P-7SWUSect-7.1 P-8SWUSect-7.1 P-1ESect-7.1 P-2ESect-7.1 P-3ESect-7.1 P-4ESect-7.1 P-5ESect-7.1 P-6ESect-7.1 P-7ESect-7.1 P-8ESect-7.1 P-9ESect-7.1 P-10ESect-7.1 P-11ESect-7.1 P-12ESect-7.1 P-13ESect-7.1 P-14ESect-7.1 P-15ESect-7.1 P-16ESect-7.1 P-17ESect-7.1 P-18ESect-7.1 P-19ESect-7.1 P-20ESect-7.1 P-21ESect-7.1 P-22ESect-7.1 P-23ESect-7.1 P-24ESect-7.1 P-25ESect-7.1 P-26ESect-7.1 P-27ESect-7.1 P-28ESect-7.1 P-29ESect-7.1 P-30ESect-7.1 P-31ESect-7.1 P-32ESect-7.1 P-33ESect-7.1 P-34ESect-7.1 P-35ESect-7.1 P-36ESect-7.1 P-37ESect-7.1 P-38ESect-7.1 P-39ESect-7.1 P-40ESect-7.1 P-41ESect-7.1 P-42ESect-7.1 P-43ESect-7.1 P-44ESect-7.2 P-1CPSect-7.2 P-2CPSect-7.2 P-3CPSect-7.2 P-1SWUSect-7.2 P-2SWUSect-7.2 P-3SWUSect-7.2 P-4SWUSect-7.2 P-5SWUSect-7.2 P-6SWUSect-7.2 P-1ESect-7.2 P-2ESect-7.2 P-3ESect-7.2 P-4ESect-7.2 P-5ESect-7.2 P-6ESect-7.2 P-7ESect-7.2 P-8ESect-7.2 P-9ESect-7.2 P-10ESect-7.2 P-11ESect-7.2 P-12ESect-7.2 P-13ESect-7.2 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Understanding Basic Statistics

A sample of n=25 scores has a mean of M=68 . Find the z-score for this sample: If it was obtained from a popula...

Statistics for The Behavioral Sciences (MindTap Course List)

In Exercises 2330, factor each expression and simplify as much as possible. (x2+1)(x+1)43(x+1)73

Finite Mathematics

In problems 1-16, solve each equation. 19. Solve the Fractional equation

Mathematical Applications for the Management, Life, and Social Sciences

Construct a difference table to predict the next term of each sequence. 1,4,21,56,115,204,...

Mathematical Excursions (MindTap Course List)

For Problems 1-10, answer true or false. If the length of a rectangle is l inches and its width is w inches, th...

Intermediate Algebra

Compute the correlation coefficient for X and Y of Example 5.16 (the covariance has already been computed).

Probability and Statistics for Engineering and the Sciences

Use the Alternating Series Estimation Theorem or Taylors inequality to estimate the range of values of x for wh...

Single Variable Calculus: Early Transcendentals

Randy Scott purchased a motorcycle for $8,500 with a loan amortized over 5 years at 7.2% interest. What equal m...

Contemporary Mathematics for Business & Consumers

8. For the given subsets and of Z, let and determine whether is onto and whether it is one-to-one. Justify ...

Elements Of Modern Algebra

Consider the regular square pyramid shown. a Find the height h correct to the nearest tenth of a unit. b Use h ...

Elementary Geometry For College Students, 7e

For each of the following problems, a point is rotating with uniform circular motion on a circle of radius r . ...

Trigonometry (MindTap Course List)

Fill in each blank: 2mi=yd

Elementary Technical Mathematics

Comparing Integration Problems In Exercises 47-50, find the indefinite integrals, if possible, using the formul...

Calculus: Early Transcendental Functions (MindTap Course List)

Capitalized Cost In Exercises 77 and 78, find the capitalized cost C of an asset (a) for n = 5 years, (b) for n...

Calculus of a Single Variable

In Exercise 23 to 28, use either the sine ratio or the cosine ratio as needed to find the measure of each indic...

Elementary Geometry for College Students

Fill in the blanks. An equation of a circle with center C(a,b) and radius r is given by _.

Finite Mathematics for the Managerial, Life, and Social Sciences

True or False: is a convergent series.

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

Using Lagrange Multipliers In Exercises 1114, use Lagrange multipliers to find the indicated extrema, assuming ...

Calculus

An iterated integral for the volume of the solid shown is:

Study Guide for Stewart's Multivariable Calculus, 8th

Finding the Radius of Gyration About Each Axis in Exercises 29-34, verify the given moment(s) of inertia and fi...

Multivariable Calculus

Finding an Indefinite Integral In Exercise 27-30, find the indefinite integral. (sinti+j+e2tk)dt

Calculus (MindTap Course List)

Solve the following exercises based on Principles 18 through 21, although an exercise may require the applicati...

Mathematics For Machine Technology

The following data show the percentage of 17- to 24-year-olds who are attending college in several metropolitan...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Determine if the statement is true or false. If the statement is false, then correct it and make it true. If an...

College Algebra (MindTap Course List)

The paper referenced in Exercise 14.16 used a multiple regression model to describe the relationship between y ...

Introduction To Statistics And Data Analysis

Define the reliability of measurement and explain why and how it is measured.

Research Methods for the Behavioral Sciences (MindTap Course List)

As part of a study designed to compare hybrid and similarly equipped conventional vehicles. Consumer Reports te...

Statistics for Business & Economics, Revised (MindTap Course List)

Construct a frequency distribution table or graph to organize and display an entire distribution of scores.

Research Methods for the Behavioral Sciences (MindTap Course List)

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