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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

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

  1. 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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