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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
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 330 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 $3,200. 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 $2 each. How many of each kind of T-shirt should the club order to maximize profit? HINT (See Example 3.] "ordinary" T-shirt(s) "fancy" T-shirt(s) "very fancy" T-shirt(s) What is the maximum profit the club can make? $ Need Help? Watch It [3/4 Points] DETAILS PREVIOUS ANSWERS WANEFM7 5.3.021. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER You are in charge of purchases at the student-run used-book supply program at your college, and you must decide how many introductory calculus, history, and marketing texts should be purchased from students for resale. Due to budget limitations, you cannot purchase more than 950 of these textbooks each semester. There are also shelf-space limitations: Calculus texts occupy 2 units of shelf space each, history books 1 unit each, and marketing texts 3 units each, and you can spare at most 1,600 units of shelf space for the texts. If the used book program makes a profit of $10 on each calculus text, $4 on each history text, and $8 on each marketing text, how many of each type of text should you purchase to maximize profit? HINT (See Example 3.] calculus text(s) 800 history text(s) 0 marketing text(s) 0 What is the maximum profit the program can make in a semester? $ 3200 X
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