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Question: 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:
Malaria/ (measured in square Inches)
Model Model Model 1 2 3
Moterisi Available
Cardstock
12
10
14
1200
Satin
24
20
15
2000
Plain Fabric
45
40
30
7500
Leather
11
1000
Profit per model
550
544
540
a. Develop and solve an optimization model to find the number of each model to produce to maximize the total profit.
b. What constraints are binding? Interpret the slack values for the nonbinding constraints.
c. Clearly explain all the key information in the sensitivity report in language that the production manager would understand.
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