(Solution) - Refer to the Kelson Sporting Equipment problem Chapter 2 Problem -(2025 Original AI-Free Solution)

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Refer to the Kelson Sporting Equipment problem (Chapter 2, Problem 24). Letting
R = number of regular gloves
C = number of catcher's mitts
Leads to the following formulation:
Max 5R + 8C
s.t.
R + 3/2C ? 900 Cutting and sewing
1/2R + 1/3C ? 300 Finishing
1/8R + 1/4C ? 100 Packaging and shipping
R, C ? 0
The computer solution is shown in Figure 3.13.
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 values for the resources? Interpret each.
d. If overtime can be scheduled in one of the departments, where would you recommend doing so?
Figure 3.13