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:

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.

Transcribed Image Text:

Material (measured Model Model Model Material in square inches) Cardstock Satin Plain Fabric Leather Profit per model 123 12 10 14 24 20 15 2000 45 40 30 7500 11 1 10 Available 1200 1000 $50 $44 $40