You Are in Charge of Purchases at the Student-Run Used-Book

question 138

Short Answer

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 1,400 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
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You should purchase __________ calculus text(s), __________ history text(s) and __________ marketing text(s).
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What is the maximum profit the program can make in a semester
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The maximum profit is $__________ per semester.

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Definitions:

Tested

The process of examining or evaluating something to determine its characteristics, quality, or performance.

Set Up

The process or action of making something operational or ready for use, especially in a context of preparation or installation.

Production Possibilities Frontier

A curve depicting all maximum output possibilities for two goods, given a set of inputs and production technology.

Peanuts

Peanuts are a type of legume or groundnut that is cultivated for its edible seeds, widely consumed globally as a snack, in culinary dishes, or processed into oil and other food products.