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Math
Mathematical Applications for the Management, Life, and Social Sciences11th Edition

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Chapter 9.3, Problem 45E
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Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

Solutions

Chapter
Section
Problem 1CP
Problem 2CP
Problem 3CP
Problem 4CP
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
Problem 48E
Problem 49E
Problem 50E
Problem 51E
Problem 52E
Problem 53E
Problem 54E
BuyFindarrow_forward

Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

Marginal revenue The revenue function for a sound system is

R ( x )   =   300 x   − x 2 dollars

where x denotes the number of units sold.

(a) What is the function that gives marginal revenue?

(b) What is the marginal revenue if 50 units are sold, and what does it mean?

(c) What is the marginal revenue if 200 units are sold, and what does it mean?

(d) What is the marginal revenue if 150 units are sold?

(e) As the number of units sold passes through 150, what happens to revenue?

(a)

To determine

To calculate: The function that gives the marginal revenue when the revenue function is given as R(x)=300x−x2. Here x is the number of units sold.

Explanation

Given Information:

The revenue function is given as;

R(x)=300x−x2

Here x is the number of units sold.

Formula used:

If a function f(x) is defined in the interval [x+h,x], then its derivative is given by the formula,

f′(x)=limh→0f(x+h)−f(x)h

Calculation:

Consider the provided statement,

The revenue function is given as;

R(x)=300x−x2

Here x is the number of units sold.

Substitute x=x+h in f(x) to get,

f(x+h)=300(x+h)−(x+h)2<

(b)

To determine

To calculate: The marginal revenue when 50 units are sold. The revenue function is given as R(x)=300x−x2.

Here x is the number of units sold.

(c)

To determine

To calculate: The marginal revenue when 200 units are sold. The revenue function is given as R(x)=300x−x2.

Here x is the number of units sold.

(d)

To determine

To calculate: The marginal revenue when 150 units are sold. The revenue function is given as R(x)=300x−x2. Here x is the number of units sold.

(e)

To determine

The change in revenue as number of units becomes greater than 150. The revenue function is given as R(x)=300x−x2. Here x is the number of units sold.

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Sect-9.1 P-1CPSect-9.1 P-2CPSect-9.1 P-3CPSect-9.1 P-4CPSect-9.1 P-5CPSect-9.1 P-6CPSect-9.1 P-7CPSect-9.1 P-8CPSect-9.1 P-9CPSect-9.1 P-10CP
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Study Guide for Stewart's Multivariable Calculus, 8th

Each of the following studies examines the relationship between sugar consumption and activity level for presch...

Research Methods for the Behavioral Sciences (MindTap Course List)

For the continuous function at the right and the given value N, how many points c satisfy the conclusion of the...

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

A poll for the presidential campaign sampled 491 potential voters in June. A primary purpose of the poll was to...

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

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