(d) The computer solution for the linear program in part (a) provides the following objective coefficient range information. Objective Allowable Coefficient Increase Allowable Decrease Variable A B 3.00000 2.00000 3.00000 1.00000 1.00000 1.00000 Use this objective coefficient range information to answer parts (b) and (c). The objective coefficient range for variable A is optimal solution ---Select--- change. The objective coefficient range for variable B is ---Select--- this range, we know the optimal solution ---Select--- + change. to . Since the change in part (b) is to ---Select-- this range, we know the . Since the change in part (c) is

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter8: Evolutionary Solver: An Alternative Optimization Procedure
Section: Chapter Questions
Problem 23P
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just part D. Drop dows: 1. (within / outside) 2. (will / will not) 3. (within / outside) 4. (will / will not)

Consider the following linear program.
Max 3A + 2B
s.t.
1A
1B ≤ 10
3A + 1B ≤ 22
1A + 2B ≤18
A, B ≥ 0
(a) Use the graphical solution procedure to find the optimal solution.
What is the value of the objective function at the optimal solution?
at (A, B) :
=
(b) Assume that the objective function coefficient for A changes from 3 to 5. Use the graphical solution procedure to find the new optimal solution.
Does the optimal solution change?
The extreme point
---Select--- optimal. The value of the objective function becomes
(c) Assume that the objective function coefficient for A remains 3, but the objective function coefficient for B changes from 2 to 4. Use the graphical solution
procedure to find the new optimal solution.
Does the optimal solution change?
The extreme point
---Select--- optimal. The value of the objective function becomes
Transcribed Image Text:Consider the following linear program. Max 3A + 2B s.t. 1A 1B ≤ 10 3A + 1B ≤ 22 1A + 2B ≤18 A, B ≥ 0 (a) Use the graphical solution procedure to find the optimal solution. What is the value of the objective function at the optimal solution? at (A, B) : = (b) Assume that the objective function coefficient for A changes from 3 to 5. Use the graphical solution procedure to find the new optimal solution. Does the optimal solution change? The extreme point ---Select--- optimal. The value of the objective function becomes (c) Assume that the objective function coefficient for A remains 3, but the objective function coefficient for B changes from 2 to 4. Use the graphical solution procedure to find the new optimal solution. Does the optimal solution change? The extreme point ---Select--- optimal. The value of the objective function becomes
(d) The computer solution for the linear program in part (a) provides the following objective coefficient range information.
Variable
A
B
Objective Allowable
Coefficient Increase
3.00000
2.00000
3.00000
1.00000
Allowable
Decrease
1.00000
1.00000
Use this objective coefficient range information to answer parts (b) and (c).
The objective coefficient range for variable A is
optimal solution ---Select---
change. The objective coefficient range for variable B is
---Select-- this range, we know the optimal solution | ---Select--- change.
to
. Since the change in part (b) is ---Select--- this range, we know the
to
Since the change in part (c) is
Transcribed Image Text:(d) The computer solution for the linear program in part (a) provides the following objective coefficient range information. Variable A B Objective Allowable Coefficient Increase 3.00000 2.00000 3.00000 1.00000 Allowable Decrease 1.00000 1.00000 Use this objective coefficient range information to answer parts (b) and (c). The objective coefficient range for variable A is optimal solution ---Select--- change. The objective coefficient range for variable B is ---Select-- this range, we know the optimal solution | ---Select--- change. to . Since the change in part (b) is ---Select--- this range, we know the to Since the change in part (c) is
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