Q: 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 1Model 2Model 3Material AvailableCardstock1210141200Satin2420152000Plain fabric4040307500Leather1111101000Profit per model$50$44$40 a) Suppose the feasible region from a set of constraints in a linear programing problem is given in the shaded region of the attached graph. If the objective function is to minimize Cost = 9x + 4y, what would be the optimal solution? What is the resulting minimized cost? SOLVER is not used in this question. Explain your reasoning. (0, 60)-x– 2y = 0С60, 30)(40, 20)x+2y 120A(60, 0)В(120, 0)\x+y= 60

Given data is Coordinates of feasible regions: (40,20) (60,30) (120,0) (60,0) The objective…

Answered: Q: The Morton Supply Company produces…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Q: 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	1200
Satin	24	20	15	2000
Plain fabric	40	40	30	7500
Leather	11	11	10	1000
Profit per model	$50	$44	$40

a) Suppose the feasible region from a set of constraints in a linear programing problem is given in the shaded region of the attached graph. If the objective function is to minimize Cost = 9x + 4y, what would be the optimal solution? What is the resulting minimized cost? SOLVER is not used in this question. Explain your reasoning.

(0, 60)
-x– 2y = 0
С60, 30)
(40, 20)
x+2y 120
A(60, 0)
В(120, 0)
\x+y= 60

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