Explanation Given: The revenue function in thousands of dollars, R ( x ) = 80 − 24 x 2 − x The cost function in thousands of dollars, C ( x ) = 60 − 12 x 3 − x The profit function in thousands of dollars, P ( x ) = R ( x ) − C ( x ) . x is number of machine manufactured per day. Formula used: Distributive property a ( b + c ) = a . b + a . c Calculation: Consider the company manufacture more the five machines per day, the revenue function in thousands of dollars is, R ( x ) = 80 − 24 x 2 − x The cost function in thousands of dollars to manufacture x machine is C ( x ) = 60 − 12 x 3 − x Consider the profit function in term of revenue and cost is given by P ( x ) = R ( x ) − C ( x ) = 80 − 24 x 2 − x − 60 − 12 x 3 − x The LCD of denominators is, ( 2 − x ) ( 3 − x ) . Rewrite the fractions as fractions with LCD, 80 − 24 x 2 − x − 60 − 12 x 3 − x = 80 − 24 x 2 − x ⋅ ( 3 − x ) ( 3 − x ) − 60 − 12 x 3 − x ⋅ ( 2 − x ) ( 2 − x ) Further solve the above equation to find the profit functionusing distributive property formula, 80 − 24 x 2 − x ⋅ ( 3 − x ) ( 3 − x )

Intermediate Algebra - With Worksheet and MyMathLab

8th Edition

ISBN: 9780134596198

Author: Tobey

Publisher: PEARSON

See similar textbooks

Concept explainers

Unitary Method

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…

Videos

Question

Chapter 6.2, Problem 33E

To determine

To calculate: The daily profit to the company making artificial lungs if ten machines are

manufactured per day.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 6.2, Problem 32E

Chapter 6.2, Problem 34E

Chapter 6 Solutions

Intermediate Algebra - With Worksheet and MyMathLab

Ch. 6.1 - Find the domain of each of the following rational...Ch. 6.1 - Find the domain of each of the following rational...Ch. 6.1 - Find the domain of each of the following rational...Ch. 6.1 - Prob. 4E Ch. 6.1 - Simplify completely. − 18 x 4 y 12 x 2 y 6 Ch. 6.1 - Simplify completely. − 7 x y 2 28 x 5 y Ch. 6.1 - Prob. 7E Ch. 6.1 - Simplify completely. 24 x 2 − 4 x 4 x 2 − 8 x Ch. 6.1 - Simplify completely. 8 x 2 28 x 2 + 4 x Ch. 6.1 - Simplify completely. 30 x 2 6 x 2 + 18 x

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

The daily profit to the company making artificial lungs if ten machines are manufactured per day.

Solution Summary: The author calculates the daily profit to the company making artificial lungs if ten machines are manufactured per day.

Concept explainers

Videos

To calculate: The daily profit to the company making artificial lungs if ten machines are manufactured per day.

Want to see the full answer?

Chapter 6 Solutions

To calculate: The daily profit to the company making artificial lungs if ten machines are

manufactured per day.