our Student Government Association decided to do a fundraiser to raise money for a field trip. They decide to sell t-shirts and sweatshirts. The profit for each t-shirt is $10 and the profit for each sweatshirt is $15. They want to sell 50 items at most. Compared to t-shirts, they want to sell at least half as many sweatshirts, with a profit of at least $500. d. Are there any non-viable solutions within the feasible region? e. How many t-shirts and sweatshirts should they sell to maximize their profit? f. What is the maximum profit they can make?
our Student Government Association decided to do a fundraiser to raise money for a field trip. They decide to sell t-shirts and sweatshirts. The profit for each t-shirt is $10 and the profit for each sweatshirt is $15. They want to sell 50 items at most. Compared to t-shirts, they want to sell at least half as many sweatshirts, with a profit of at least $500. d. Are there any non-viable solutions within the feasible region? e. How many t-shirts and sweatshirts should they sell to maximize their profit? f. What is the maximum profit they can make?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 13E
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our Student Government Association decided to do a fundraiser to raise
money for a field trip. They decide to sell t-shirts and sweatshirts. The
profit for each t-shirt is $10 and the profit for each sweatshirt is $15.
They want to sell 50 items at most. Compared to t-shirts, they want to sell
at least half as many sweatshirts, with a profit of at least $500.
d. Are there any non-viable solutions within the feasible region?
e. How many t-shirts and sweatshirts should they sell to maximize their profit?
f. What is the maximum profit they can make?
Transcribed Image Text:b. The graph of the system of inequalities is given below
60
(0, 50)
(0, 33.333)
(33.333, 16.667)
20
(28.571, 14.286)
-20
20
60
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