Optimal Objective Value 2170.00000 Variable Value Reduced Cost АВ 100.00000 0.00000 BM 60.00000 0.00000 AP 0.00000 1.75000 BP 90.00000 0.00000 Constraint Slack/Surplus Dual Value 1 0.00000 12.25000 2 0.00000 9.00000 3 20.00000 0.00000 4 0.00000 -0.37500 Objective Allowable Allowable Variable Coefficient Increase Decrease AB 10.00000 1.75000 Infinite BM 6.00000 3.00000 2.33333 AP 14.00000 Infinite 1.75000 BP 9.00000 2.33333 3.00000 RHS Allowable Allowable Constraint Value Increase Decrease 1 100.00000 11.42857 100.00000 2 150.00000 Infinite 90.00000 3 600.00000 Infinite 20.00000 4 1080.00000 53.33333 480.00000

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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Question

A. What is the optimal solution and what is the optimal value of the objective function?

B. Which constraints are binding?

C. What are the dual values? Interpret each.

D. If you could change the right-hand side of one constraint by one unit, which one would you choose? Why?

Optimal Objective Value
2170.00000
Variable
Value
Reduced Cost
АВ
100.00000
0.00000
BM
60.00000
0.00000
AP
0.00000
1.75000
BP
90.00000
0.00000
Constraint
Slack/Surplus
Dual Value
1
0.00000
12.25000
2
0.00000
9.00000
3
20.00000
0.00000
4
0.00000
-0.37500
Objective
Allowable
Allowable
Variable
Coefficient
Increase
Decrease
AB
10.00000
1.75000
Infinite
BM
6.00000
3.00000
2.33333
AP
14.00000
Infinite
1.75000
BP
9.00000
2.33333
3.00000
RHS
Allowable
Allowable
Constraint
Value
Increase
Decrease
1
100.00000
11.42857
100.00000
2
150.00000
Infinite
90.00000
3
600.00000
Infinite
20.00000
4
1080.00000
53.33333
480.00000
Transcribed Image Text:Optimal Objective Value 2170.00000 Variable Value Reduced Cost АВ 100.00000 0.00000 BM 60.00000 0.00000 AP 0.00000 1.75000 BP 90.00000 0.00000 Constraint Slack/Surplus Dual Value 1 0.00000 12.25000 2 0.00000 9.00000 3 20.00000 0.00000 4 0.00000 -0.37500 Objective Allowable Allowable Variable Coefficient Increase Decrease AB 10.00000 1.75000 Infinite BM 6.00000 3.00000 2.33333 AP 14.00000 Infinite 1.75000 BP 9.00000 2.33333 3.00000 RHS Allowable Allowable Constraint Value Increase Decrease 1 100.00000 11.42857 100.00000 2 150.00000 Infinite 90.00000 3 600.00000 Infinite 20.00000 4 1080.00000 53.33333 480.00000
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