A manufacturer of a particular item has monthly fixed costs of $500 and variable costs of $15 per item, and it sells the items for $35 per item. a. Write a function that models the monthly profit P from the production and sale of x units of the item. b. What is the profit if 160 items are produced and sold in 1 month? C. At what rate does the profit grow as the number of items increases?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
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A manufacturer of a particular item has monthly fixed costs of $500 and variable costs of $15 per item, and it sells the items for $35 per item.
a. Write a function that models the monthly profit P from the production and sale of x units of the item.
b. What is the profit if 160 items are produced and sold in 1 month?
c. At what rate does the profit grow as the number of items increases?
The function that models the monthly profit P from the production and sale of x units of the item is P =
(Simplify your answer. Do not factor.)
Transcribed Image Text:A manufacturer of a particular item has monthly fixed costs of $500 and variable costs of $15 per item, and it sells the items for $35 per item. a. Write a function that models the monthly profit P from the production and sale of x units of the item. b. What is the profit if 160 items are produced and sold in 1 month? c. At what rate does the profit grow as the number of items increases? The function that models the monthly profit P from the production and sale of x units of the item is P = (Simplify your answer. Do not factor.)
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