Following is the Linear Program ofMoon Inc.The firm produces two types of Jackets.

X = number of Silver Jackets

Y= number of Gold Jackets.

Max11x + 10Y

S.t.2x + 5Y 830----------------- (Cutting HRS)

1x + 1Y 6200----------------(Stitching HRS)

1x + 2/3Y 710 -------------------(Finishing HRS)

4x + 1Y 135 ---------------(Quality control HRS)

X, Y0

The Excel solver was run to provide the optimal production mix of Suede and Leather jackets so as to maximize profits from the two types of Jackets. Please see the given solver solution summary:

Western Inc. Solver Solution Summarized (USE THIS SOLUTION)

The optimal value of the Objective Function =5300

Optimal Production quantities (decision variables x,y) =300, 200

Slack values and shadow prices are below:

Department Slack Shadow

Cutting and dyeing slack:0Shadow:2.75

Stitching Slack:140 Shadow: 0

Finishing Slack :0 Shadow: 2.00

Quality control Slack: 30 Shadow: 0

Provide answers to the following questions:

1. What are the optimal values for producing Silver and Gold Jackets to provide maximum profits?
2. What is the amount of the maximum profit for the Optimal solution
3. Which constraints are Binding per the Report? How do you know?
4. Which constraints are non-binding? How much slack is in the non-binding constraints?
5. If you can add more hours to any department, where would you recommend adding 25 additional hours if they were available to you to use anywhere? Why? Show calculation
6. If the allowable increase for the objective coefficient of X is 4 and its allowable decrease is 2 then construct the objective coefficient range for x. What does it mean?