3rd Edition

ISBN: 9781285607160

Author: Larson

Publisher: CENGAGE CO

Concept explainers

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…

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Question

Chapter 7.1, Problem 61E

To determine

The units for company sell to break even.

Expert Solution

Answer to Problem 61E

8 weeks.

Explanation of Solution

Given information:

The number of rentals of a newly released DVD of a horror film at a movie rental store decreased each week.At the same time, the number of rentals of a newly released DVD of a comedy film increased each week. Models that approximate the numbers N of DVDs rented are

{N=360−24x HorrorN=24+18x comedy film}

(a) After how many weeks will the number of DVDs rented for the two films be equal ?

Calculation:

The given information states that number of rentals of a newly released DVD of a horror film at a movie rental store decreased each week.At the same time, the number of rentals of a newly released DVD of a comedy film increased each week. Models that approximate the numbers N of DVDs rented are

{N=360−24x HorrorN=24+18x comedy film}

Both the above equations are equal to each other, so both the expressions are equal to R .

360−24x=24+18x

Add 24x to both sides to eliminate the x variable on the left side of the equation:

360=24+42x

Subtract 24 from both sides to isolate the x variable on the left side of the equation:

336=42x

Divide both sides by 42 to solve for x :

x=8

Thus, after 8 weeks, rentals for the two movies will be equal.

To determine

The units for company sell to make a profit.

Expert Solution

Answer to Problem 61E

EBK PRECALCULUS W/LIMITS, Chapter 7.1, Problem 61E , additional homework tip 1

Explanation of Solution

Given information:

{N=360−24x HorrorN=24+18x comedy film}

(b) Use a table to solve the system of equations numerically. Compare your result with that of part (a).

Calculation:

{N=360−24x HorrorN=24+18x comedy film}

Plug the number of each week into the equation are shown in the following table:

EBK PRECALCULUS W/LIMITS, Chapter 7.1, Problem 61E , additional homework tip 2

Chapter 7.1, Problem 60E

Chapter 7.1, Problem 62E

Chapter 7 Solutions

EBK PRECALCULUS W/LIMITS

Ch. 7.1 - Prob. 1E Ch. 7.1 - Prob. 2E Ch. 7.1 - Prob. 3E Ch. 7.1 - Prob. 4E Ch. 7.1 - Prob. 5E Ch. 7.1 - Prob. 6E Ch. 7.1 - Prob. 7E Ch. 7.1 - Prob. 8E Ch. 7.1 - Prob. 9E Ch. 7.1 - Prob. 10E

Ch. 7.1 - Prob. 11E Ch. 7.1 - Prob. 12E Ch. 7.1 - Prob. 13E Ch. 7.1 - Prob. 14E Ch. 7.1 - Prob. 15E Ch. 7.1 - Prob. 16E Ch. 7.1 - Prob. 17E Ch. 7.1 - Prob. 18E Ch. 7.1 - Prob. 19E Ch. 7.1 - Prob. 20E Ch. 7.1 - Prob. 21E Ch. 7.1 - Prob. 22E Ch. 7.1 - Prob. 23E Ch. 7.1 - Prob. 24E Ch. 7.1 - Prob. 25E Ch. 7.1 - Prob. 26E Ch. 7.1 - Prob. 27E Ch. 7.1 - Prob. 28E Ch. 7.1 - Prob. 29E Ch. 7.1 - Prob. 30E Ch. 7.1 - Prob. 31E Ch. 7.1 - Prob. 32E Ch. 7.1 - Prob. 33E Ch. 7.1 - Prob. 34E Ch. 7.1 - Prob. 35E Ch. 7.1 - Prob. 36E Ch. 7.1 - Prob. 37E Ch. 7.1 - Prob. 38E Ch. 7.1 - Prob. 39E Ch. 7.1 - Prob. 40E Ch. 7.1 - Prob. 41E Ch. 7.1 - Prob. 42E Ch. 7.1 - Prob. 43E Ch. 7.1 - Prob. 44E Ch. 7.1 - Prob. 45E Ch. 7.1 - Prob. 46E Ch. 7.1 - Prob. 47E Ch. 7.1 - Prob. 48E Ch. 7.1 - Prob. 49E Ch. 7.1 - Prob. 50E Ch. 7.1 - Prob. 51E Ch. 7.1 - Prob. 52E Ch. 7.1 - Prob. 53E Ch. 7.1 - Prob. 54E Ch. 7.1 - Prob. 55E Ch. 7.1 - Prob. 56E Ch. 7.1 - Prob. 57E Ch. 7.1 - Prob. 58E Ch. 7.1 - Prob. 59E Ch. 7.1 - Prob. 60E Ch. 7.1 - 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