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 objective function for Sam's product mix problem?
B = number of benches to construct
S = number of stools to construct
Sam wants to maximize his profit.
The objective function is maximize profit for 7B + 5S
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