Question: Refer to the Kelson Sporting Equipment problem. Letting R = number of regular gloves C = number of catchers mitts leads to the following formulation:

Refer to the Kelson Sporting Equipment problem. Letting
R = number of regular gloves
C = number of catcher€™s mitts leads to the following formulation:
Max 5R + 8C
s.t.
R + 3/2 C ‰¤ 900 Cutting and sewing
1/2 R + 1/3 C ‰¤ 300 Finishing
1/8 R + 1/4 C ‰¤ 100 Packaging and shipping
R, C ‰¥ 0
The computer solution obtained using The Management Scientist is shown in Figure.
THE MANAGEMENT SCIENTIST SOLUTION FOR THE KELSON SPORTING
EQUIPMENT PROBLEM

a. What is the optimal solution, and what is the value of the total profit contribution?
b. Which constraints are binding?
c. What are the dual prices for the resources? Interpret each.
d. If overtime can be scheduled in one of the departments, where would you recommend doingso?

Objective Function Value 3700.00146 Variable Value Reduced Costs 500.00153 149.99924 0.00000 0.00000 Constraint Slack/Surplus Dual Prices 174.99962 0.00000 0.00000 0.00000 2.99999 28.00006 OBJECTIVE COEFFICIENT RANGES Variable Lower Limit Current Value Upper Limit 4.00000 3.33330 5.00000 8.00000 12.00012 10.00000 RIGHT HAND SIDE RANGES Constraint Lower Limit Current Value Upper Limit 725.00037 133.33199 75.00000 900.00000 No Upper Linit 300.00000 100.00000 400.00000 134.99982

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