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 bud limitations you cannot purchase more than 700 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 4 units each an you can spare at most 1 200 units of shelf space for the texts If the used book program makes a profit of 20 on each calculus text 8 on each history text and 16 on each marketing text how many of each type of text should you purchase to maximize profit HINT See Example 3 calculus text s history text s marketing text s What is the maximum profit the program can make in a semester