T-Shirt Profit The latest demand equation for your Yoda vs. Alien T-shirts is given by q=-50x + 800 where q is the number of shirts you can sell in one week if you charge $x per shirt. The Student Council charges you $300 per week for use of their facilities, and the T-shirts cost you $6 each. Find the weekly cost as a function of the unit price x. C(x) = Hence, find the weekly profit as a function of x. P(x) = Determine the unit price (in dollars per T-shirt) you should charge to obtain the largest possible weekly profit. x = $ per T-shirt What is the largest possible weekly profit (in dollars)? $

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,...
icon
Related questions
Question
T-Shirt Profit The latest demand equation for your Yoda vs. Alien T-shirts is given by
q=-50x + 800
where q is the number of shirts you can sell in one week if you charge $x per shirt. The Student Council charges you $300 per
week for use of their facilities, and the T-shirts cost you $6 each. Find the weekly cost as a function of the unit price x.
C(x) =
Hence, find the weekly profit as a function of x.
P(x) =
Determine the unit price (in dollars per T-shirt) you should charge to obtain the largest possible weekly profit.
x = $
per T-shirt
What is the largest possible weekly profit (in dollars)?
$
Transcribed Image Text:T-Shirt Profit The latest demand equation for your Yoda vs. Alien T-shirts is given by q=-50x + 800 where q is the number of shirts you can sell in one week if you charge $x per shirt. The Student Council charges you $300 per week for use of their facilities, and the T-shirts cost you $6 each. Find the weekly cost as a function of the unit price x. C(x) = Hence, find the weekly profit as a function of x. P(x) = Determine the unit price (in dollars per T-shirt) you should charge to obtain the largest possible weekly profit. x = $ per T-shirt What is the largest possible weekly profit (in dollars)? $
Expert Solution
steps

Step by step

Solved in 1 steps

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education