Ty makes two kinds of hot sauce: “Mouth Burner” and “Face Exploder.” A jar of “Mouth Burner” requires 4 habanero peppers, 4 cloves of garlic, and 3 ounces of diced onions, whereas a jar of “Face Exploder” requires 8 habanero peppers, 2 cloves of garlic, and 2 ounces of diced onions. Ty’s garden will produce at most 200 habanero peppers, 120 cloves of garlic, and enough onions for 175 ounces diced. If a jar of “Mouth Burner” profits $2.25 and a jar of “Face Exploder” profits $1.95, how many jars of each type of sauce should he produce in order to maximize his profit? Formulate the problem, listing the decision variables, the objective function, and the constraints (i.e., give the mathematical model).
Ty makes two kinds of hot sauce: “Mouth Burner” and “Face Exploder.” A jar of “Mouth Burner” requires 4 habanero peppers, 4 cloves of garlic, and 3 ounces of diced onions, whereas a jar of “Face Exploder” requires 8 habanero peppers, 2 cloves of garlic, and 2 ounces of diced onions. Ty’s garden will produce at most 200 habanero peppers, 120 cloves of garlic, and enough onions for 175 ounces diced. If a jar of “Mouth Burner” profits $2.25 and a jar of “Face Exploder” profits $1.95, how many jars of each type of sauce should he produce in order to maximize his profit?
Formulate the problem, listing the decision variables, the objective function, and the constraints (i.e., give the mathematical model).
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