(a) What is the optimal solution, and what is the value of the total profit contribution? regular glove catcher's mitt value (b) Which constraints are binding? (Select all that apply.) cutting and sewing 000 finishing packaging and shipping
(a) What is the optimal solution, and what is the value of the total profit contribution? regular glove catcher's mitt value (b) Which constraints are binding? (Select all that apply.) cutting and sewing 000 finishing packaging and shipping
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Transcribed Image Text:Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. Letting
R = number of regular gloves
C
number of catcher's mitts
-
leads to the following formulation:
Max 5R + 7℃
s.t.
3
R + -C ≤ 1,000
2
-R + -C ≤ 300
3
-R + -C ≤ 100
4
R, C ≥ 0
The computer solution is shown below.
Variable
R
с
Optimal Objective Value = 3550.00000
Constraint
1
2
3
Variable
R
C
Cutting and sewing
Value
500.00000
150.00000
Finishing
Packaging and shipping
Reduced Cost
0.00000
0.00000
Slack/Surplus
275.00000
0.00000
0.00000
5.00000
7.00000
Dual Value
0.00000
4.50000
22.00000
Objective Allowable
Coefficient
Increase
5.50000
3.00000
Allowable
Decrease
1.50000
3.66667

Transcribed Image Text:Variable
R
с
Constraint
1
2
3
ооо
Variable
R
C
Constraint
1
2
3
Value
500.00000
150.00000
Slack/Surplus
275.00000
0.00000
0.00000
5.00000
7.00000
Reduced Cost
0.00000
0.00000
Objective Allowable
Coefficient
Increase
5.50000
3.00000
RHS
Value
1000.00000
300.00000
100.00000
Dual Value
0.00000
4.50000
22.00000
Allowable
Increase
Infinite
100.00000
55.00000
(b) Which constraints are binding? (Select all that apply.)
cutting and sewing
finishing
packaging and shipping
Allowable
Decrease
1.50000
3.66667
(a) What is the optimal solution, and what is the value of the total profit contribution?
regular glove
catcher's mitt
value
Allowable
Decrease
275.00000
166.66667
25.00000
Expert Solution

Step 1 Introduction:-
Linear programming is a mathematical technique that is commonly used in the operations management departments of most companies. This technique is commonly used to find the best outcome with the maximum profit. Linear programming has various methods; each method is chosen by the companies as per their requirements or based on different factors.
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