Profit Selling SweatshirtsAn equation can be written for a business to determine how much profit they will make.For an example, your business began selling sweatshirts at a cost of $10. The first year yousold 1,000 (great first year!). You decided to raise the selling price by $5 and found thetotal number sold decreased by 100 sweatshirts (see the table below). It costs $10 toproduce 1 sweatshirt.vertex (35, 12,500)Selling Price $ (s)10152025Quantity Sold in 1year (q)100090080070012000 Profit, P1000080006000400020000-200093. What is the meaning of the vertex of the graph?10 20302. What is f(20) and what does this mean in the context of the problem?40Using some algebra, you determine the equation to represent the relationship between theselling price (s) and the profit (f(s)) (assuming you continue the trend of raising the priceby $5 and selling 100 less) is f(s)=-20s +1400s-12,000. Above is the graph of thefunction.1. What is f(10) and what does this mean in the context of the problem?4. How many sweatshirts had to be sold to make a profit of $10,000?50of 70selling price, s5. What is the domain and range of the function in the context of this problem?6. If you had a choice, what price would you set for the sweatshirts, and why?

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Profit Selling Sweatshirts An equation can be written for a business to determine how much profit they will For an example, your business began selling sweatshirts at a cost of $10. The first sold 1,000 (great first year!). You decided to raise the selling price by $5 and foun total number sold decreased by 100 sweatshirts (see the table below). It costs $10 produce 1 sweatshirt. vertex (35 Selling Price $ (s) 10 15 20 Quantity Sold in 1 year (q) 1000 900 800 12000 Profit, P 10000 8000 6000

Profit Selling Sweatshirts An equation can be written for a business to determine how much profit they will For an example, your business began selling sweatshirts at a cost of $10. The first sold 1,000 (great first year!). You decided to raise the selling price by $5 and foun total number sold decreased by 100 sweatshirts (see the table below). It costs $10 produce 1 sweatshirt. vertex (35 Selling Price $ (s) 10 15 20 Quantity Sold in 1 year (q) 1000 900 800 12000 Profit, P 10000 8000 6000

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Profit Selling Sweatshirts
An equation can be written for a business to determine how much profit they will make.
For an example, your business began selling sweatshirts at a cost of $10. The first year you
sold 1,000 (great first year!). You decided to raise the selling price by $5 and found the
total number sold decreased by 100 sweatshirts (see the table below). It costs $10 to
produce 1 sweatshirt.
vertex (35, 12,500)
Selling Price $ (s)
10
15
20
25
Quantity Sold in 1
year (q)
1000
900
800
700
12000 Profit, P
10000
8000
6000
4000
2000
0
-2000
9
3. What is the meaning of the vertex of the graph?
10 20
30
2. What is f(20) and what does this mean in the context of the problem?
40
Using some algebra, you determine the equation to represent the relationship between the
selling price (s) and the profit (f(s)) (assuming you continue the trend of raising the price
by $5 and selling 100 less) is f(s)=-20s +1400s-12,000. Above is the graph of the
function.
1. What is f(10) and what does this mean in the context of the problem?
4. How many sweatshirts had to be sold to make a profit of $10,000?
50
of 70
selling price, s
5. What is the domain and range of the function in the context of this problem?
6. If you had a choice, what price would you set for the sweatshirts, and why?

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