# Refer to the Kelson Sporting Equipment problem. LettingR = number of regular glovesC = number of catchers mitts leads to the following formulation:Max 5R + 8Cs.t.R + 3/2 C ¤ 900 Cutting and sewing1/2 R + 1/3 C ¤ 300 Finishing1/8 R + 1/4 C ¤ 100 Packaging and shippingR, C ¥ 0The computer solution obtained using The Management Scientist

Chapter 8, Problems #5
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?