1. The Morton Supply Company produces clothing, footwear and accessories for dancing and gymnastics. They produce three models of pointe shoes used by ballerinas to balance on the tops of their toes. The shoes are produced from four materials: cardstock, satin, plain fabric and leather. The number of square inches of each type of material used in each model of shoe, the amount of material available, and the profit/model are shown below. Material (measured in square inches) Model 1 Model 2 Model 3 Material Available Cardstock 12 10 14 1,200 Satin 54 20 15 2,000 Plain Fabric 40 40 30 7,500 Leather 11 11 10 1,000 Profit Per Model $50 $44 $40 Mathematically formulate a linear optimization model and solve the problem.

EXCEL FILE please.

Malloy Milling grinds calcined alumina to a standard granular size. The mill produces two different size products, regular grind and super grind, from the same raw materials. Regular Grind can be produced at a rate of 12,000 pounds per hour and has a demand of 400 tons per week with a price per ton of $900. Super Grind can be produced at a rate of 8,000 pounds per hour and has demand of 200 tons per week with a price of $1,900 per ton. A minimum of 800 tons has to be ground every week to make room in the raw material storage bins for previously purchased incoming raw material by rail. The mill operates 24/7 for a total of 168 hours/week. Mathematically formulate a linear optimization model and solve the problem.

EXCEL file Please.