A certain company produces​ clothing, footwear, and accessories for dancing and gymnastics. They…

A certain 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. Complete parts a and b.
Material
Model 1
Model 2
Model 3
Material Available
Cardstock
1313
1010
1313
1 comma 1001,100
Satin
2222
2020
2121
2 comma 0002,000
Plain Fabric
3535
3535
2525
8 comma 5008,500
Leather
1212
1212
1010
1 comma 0001,000
Profit per model: $5151   $4343   $4040
Part 1 a. Identify the decision​ variables, objective​ function, and constraints in simple verbal expressions. Identify the decision variables. Select all that apply.
A. Number of model 3 shoes produced
B. Number of model 1 shoes produced
C. Profit
D. Number of model 2 shoes produced
E. Cost
F. Material used