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 tips 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 24 20 15 2,000 Plain fabric 40 40 30 7,500 Leather 11 11 10 1,000 Profit per model $50 $44 $40 a. Identify the decision variables, objective function, and constraints in simple verbal statements. b. Mathematically formulate a linear optimization model. c. Implement the linear optimization model that you developed on a spreadsheet and use Solver to find an optimal solution. Interpret the Solver Answer Report and identify the binding constraints

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 tips 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   24   20   15 2,000
Plain fabric   40   40   30 7,500
Leather   11   11   10 1,000
Profit per model $50 $44 $40  

 

a. Identify the decision variables, objective function, and constraints in simple verbal statements.

b. Mathematically formulate a linear optimization model.

c. Implement the linear optimization model that you developed on a spreadsheet and use Solver to find an optimal solution. Interpret the Solver Answer Report and identify the binding constraints

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