What constraints are binding

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Reference no: EM131439976

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      

11   

10  

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.

Reference no: EM131439976

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