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A small candy shop is preparing for the holiday season. The owner must decide on how many one-pound bags of conventional mix, supreme mix, and deluxe...
A small candy shop is preparing for the holiday season. The owner must decide on how many one-pound bags of conventional mix, supreme mix, and deluxe mix to put up. The conventional mix has ½ pound of raisins and ½ pound of peanuts. The supreme mix has ¼ pound of raisins, ½ pound of peanuts, and ¼ pound of cashews. The deluxe mix has ¼ pound of raisins, ¼ pound of peanuts, and ½ pound of cashews. The shop has 90 pounds of raisins, 70 pounds of peanuts, and 50 pounds of cashews to work with. Raisins cost $1.00 per pound, peanuts cost $0.60 per pound, and cashews cost $1.20 per pound. The conventional mix sells for $2.50 per bag, the supreme mix sells for $3.00 per bag, and the deluxe mix sells for $3.20 per bag. Develop linear programming formulation that will determine how many bags of each type of mix to prepare so as to maximize profit.
