Mathematics
Mathematics, 21.05.2020 00:05, brooklynmikestovgphx

A small 8-person company creates hand-made jackets with school names and colors. It offers a basic jacket with the school logo, and a deluxe model with leather sleeves and more trim. The company gets a lot of business in March with the college basketball tournament taking place.

Making a basic jacket involves one hour of cutting and two hours of sewing. Making a deluxe jacket involves two hours of cutting and three hours of sewing. All employees work 8 hours a day. Three of the employees do the cutting, so there are 24 hours of labor available for cutting each day. The other five employees do the sewing, so there are 40 hours of labor available for sewing each day.

If the profit on each basic jacket is $40 and the profit on each deluxe one is $70, how many of each kind should the company make each day in order to maximize the profit?

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