Sam's Sawmill Makes Two Products

question 29

Essay

Sam's Sawmill makes two products.One product is a wood bench (B)and the other product is a wood stool (S).Sam has a sawmill,so having the right material on hand is never a problem.However,production is limited.Sam's brother Chris is the carpenter,and he cannot work more than 240 hours a month.It takes Chris 4 hours to make a bench and 3 hours to make a stool.Sam had a limited budget,so he installed a small paint booth for staining the products.Sam does the painting,but he only has 100 hours a month available.It takes Sam 2 hours to paint a bench and 1 hour to paint a stool.Sam makes $7 for every bench and $5 profit for every stool.
What is the profit at the corner points of the feasible region? What point maximizes the objective function?

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