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

Please help answer the following:

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.