The Marketing Club at your college has decided to raise funds by selling three types of T-shirt: one with a single-color "ordinary" design, one with a two-color "fancy" design, and one with a three- color "very fancy" design. The club feels that it can sell up to 400 T-shirts. "Ordinary" T-shirts will cost the club $6 each, "fancy" T-shirts $8 each, and "very fancy" T-shirts $10 each, and the club has a total purchasing budget of $4,000. It will sell "ordinary" T-shirts at a profit of $4 each, "fancy" T-shirts at a profit of $5 each, and "very fancy" T-shirts at a profit of $4 each. How many of each kind of T- shirt should the club order to maximize profit? What is the maximum profit the club can make?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
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Problem 4.71TI: The community college fine arts department sold three kinds of tickets to its latest dance...
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The Marketing Club at your college has
decided to raise funds by selling three
types of T-shirt: one with a single-color
"ordinary" design, one with a two-color
"fancy" design, and one with a three-
color "very fancy" design. The club feels
that it can sell up to 400 T-shirts.
"Ordinary" T-shirts will cost the club $6
each, "fancy" T-shirts $8 each, and "very
fancy" T-shirts $10 each, and the club
has a total purchasing budget of $4,000.
It will sell "ordinary" T-shirts at a profit of
$4 each, "fancy" T-shirts at a profit of $5
each, and "very fancy" T-shirts at a profit
of $4 each. How many of each kind of T-
shirt should the club order to maximize
profit? What is the maximum profit the
club can make?
Transcribed Image Text:The Marketing Club at your college has decided to raise funds by selling three types of T-shirt: one with a single-color "ordinary" design, one with a two-color "fancy" design, and one with a three- color "very fancy" design. The club feels that it can sell up to 400 T-shirts. "Ordinary" T-shirts will cost the club $6 each, "fancy" T-shirts $8 each, and "very fancy" T-shirts $10 each, and the club has a total purchasing budget of $4,000. It will sell "ordinary" T-shirts at a profit of $4 each, "fancy" T-shirts at a profit of $5 each, and "very fancy" T-shirts at a profit of $4 each. How many of each kind of T- shirt should the club order to maximize profit? What is the maximum profit the club can make?
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