Problem 3-06 (Algorithmic) Kelson Sporting Equipment, Inc., makes two different
ID: 3073571 • Letter: P
Question
Problem 3-06 (Algorithmic) 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) Packaging and Shipping Cutting Profit/Glove $7 $10 and Sewing Finishing Model Regular model Catcher's model 10 Letting R- number of regular gloves C number of catcher's mitts leads to the following formulation Max 7R 100 10/. Cutting and sewing Finishing Packaging and shipping R + 700 %R + 1/5CS100 The sensitivity report is shown in figure below Optimal Objective Value4400.00000 Value Reduced Cost Variable 575.00000 0.00000Explanation / Answer
a) Refer table 3 of the sensitivity report,
Objective coefficient range is obtained by adding allowable increase and subtracting allowable decrease from the objective coefficient.
b) As long as the profit per regular glove is within4.29 and 15, the optimal solution of regular gloves will not change
As long as the profit per catcher glove is within 4.67 and 16.33, the optimal solution of catcher gloves will not change
The assumption is that both objective coefficients are NOT changed at the same time.
c) Refer table 4 of sensitivity report, allowable increase is added and allowable decrease is subtracted to the Right hand side value to obtain the range.
Interpretation: blanks are mentioned below
Constraint 1: within 600 and 957.14 , 3.2
Constraint 2: within 100 and 350.00 , 7.6
Constraint 3: within 82 and infinite , 0.0
Packaging and shipping is a non-binding constraint (has a surplus). Therefore, 11 extra hours of packaging and shipping time will not change the answer. Change in objective value is 0
Amount = $ 0
Objective coefficient range Variable Lower limit Upper limit Regular Glove 4.29 15 Catcher's Mitt 4.67 16.33Related Questions
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