Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's
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Question:
Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 700 hours of production time available in its cutting and sewing department, 300 hours available in its finishing department, and 100 hours available in its packaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table:
Production Time (hours) | ||||
Model | Cutting and Sewing | Finishing | Packaging and Shipping | Profit/Glove |
Regular model | 1 | |||
Catcher`s model |
Letting | |
R = number of regular gloves | |
C = number of catcher's mitts | |
leads to the following formulation: |
Max | 7R + 10C | ||
s.t. | |||
R + C | 700 | Cutting and sewing | |
R + C | 300 | Finishing | |
R + C | 100 | Packaging and shipping | |
R, C 0 |
The sensitivity report is shown in figure below.
Optimal Objective Value =4400.00000 | |||||||
Variable | Value | Reduced Cost | |||||
R | 575.00000 | 0.00000 | |||||
C | 37.50000 | 0.00000 | |||||
Constraint | Slack/Surplus | Dual Value | |||||
1 | 0.00000 | 2.00000 | |||||
2 | 0.00000 | 10.00000 | |||||
3 | 20.62500 | 0.00000 | |||||
Variable | Objective Coefficient | Allowable Increase | Allowable Decrease | ||||||
R | 7.00000 | 8.00000 | 4.00000 | ||||||
C | 10.00000 | 13.33330 | 5.33330 | ||||||
Constraint | RHS Value | Allowable Increase | Allowable Decrease | ||||||
1 | 700.00000 | 471.42800 | 100.00000 | ||||||
2 | 300.00000 | 50.00000 | 230.00000 | ||||||
3 | 100.00000 | Infinite | 20.62500 | ||||||
- Determine the objective coefficients ranges. If there is no lower or upper limit, then enter the text "NA" as your answer. Round your answers to two decimal places.
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