T-Shirt Profit The latest demand equation for your Yoda vs. Alien T-shirts is given by q = -50x + 700 where g is the number of shirts you can sell in one week if you charge $x per shirt. The Student Council charges you $100 per week for use of their facilities, and the T-shirts cost you $4 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)?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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T-Shirt Profit The latest demand equation for your Yoda vs. Alien T-shirts is given by
q = -50x + 700
where g is the number of shirts you can sell in one week if you charge $x per shirt. The Student Council charges you $100 per week for use of their facilities, and the T-shirts cost you $4
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 + 700 where g is the number of shirts you can sell in one week if you charge $x per shirt. The Student Council charges you $100 per week for use of their facilities, and the T-shirts cost you $4 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)?
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