LP/Quadratic Objective Cell (Min) Final Cell Name Value Obj $B$13 4135000 Func AN Decision Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $B$11 variables AN 55000 0 33 7.0000001 41.0000001 variables $C$11 0 7 48 1E+30 7 AO $D$11 variables BN 25000 0 27 8.0000001 7.0000001 $E$11 variables BO 47000 0 35 7.0000001 8.0000001 Constraints Final Shadow Constraint Allowable Allowable variables $E$11 47000 0 35 7.0000001 8.0000001 BO Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease $B$16 LHS 55000 41 55000 10500 47000 $B$17 LHS 72000 35 72000 10500 47000 $B$18 LHS 80000 -8 80000 47000 10500 10500 $B$19 LHS 47000 0 57500 1E+30 The answers to the questions are found in this sensitivity report. Questions: Write your responses in the space provided 1. What is the range of optimality for the BN and BO variables? write your answers in this format: Lower limit <= Coefficient of BN <= Upper limit. Example 22 <= C of BN <= 40 2. What is the range of feasibility for the constraints located on B17 and B18? 3. If the right-hand side of the constraint located on B17 is decreased by 200, what is the effect on the value of the objective function?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 56P
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Question
LP/Quadratic
Objective Cell
(Min)
Final
Cell
Name
Value
Obj
$B$13
4135000
Func AN
Decision
Variable Cells
Final
Reduced Objective Allowable Allowable
Cell Name Value Cost
Coefficient Increase Decrease
$B$11
variables
AN
55000 0
33
7.0000001 41.0000001
variables
$C$11
0
7
48
1E+30
7
AO
$D$11
variables
BN
25000 0
27
8.0000001 7.0000001
$E$11
variables
BO
47000 0
35
7.0000001 8.0000001
Constraints
Final
Shadow Constraint Allowable Allowable
Transcribed Image Text:LP/Quadratic Objective Cell (Min) Final Cell Name Value Obj $B$13 4135000 Func AN Decision Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $B$11 variables AN 55000 0 33 7.0000001 41.0000001 variables $C$11 0 7 48 1E+30 7 AO $D$11 variables BN 25000 0 27 8.0000001 7.0000001 $E$11 variables BO 47000 0 35 7.0000001 8.0000001 Constraints Final Shadow Constraint Allowable Allowable
variables
$E$11
47000 0
35
7.0000001 8.0000001
BO
Constraints
Final
Shadow Constraint Allowable Allowable
Cell Name
Value
Price
R.H. Side Increase Decrease
$B$16 LHS
55000
41
55000
10500
47000
$B$17 LHS
72000 35
72000
10500
47000
$B$18 LHS
80000 -8
80000
47000
10500
10500
$B$19 LHS
47000 0
57500
1E+30
The answers to the questions are found in this sensitivity report.
Questions: Write your responses in the space provided
1. What is the range of optimality for the BN and BO variables?
write your answers in this format: Lower limit <= Coefficient of BN <= Upper limit. Example
22 <= C of BN <= 40
2. What is the range of feasibility for the constraints located on B17 and B18?
3. If the right-hand side of the constraint located on B17 is decreased by 200, what is the
effect on the value of the objective function?
Transcribed Image Text:variables $E$11 47000 0 35 7.0000001 8.0000001 BO Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease $B$16 LHS 55000 41 55000 10500 47000 $B$17 LHS 72000 35 72000 10500 47000 $B$18 LHS 80000 -8 80000 47000 10500 10500 $B$19 LHS 47000 0 57500 1E+30 The answers to the questions are found in this sensitivity report. Questions: Write your responses in the space provided 1. What is the range of optimality for the BN and BO variables? write your answers in this format: Lower limit <= Coefficient of BN <= Upper limit. Example 22 <= C of BN <= 40 2. What is the range of feasibility for the constraints located on B17 and B18? 3. If the right-hand side of the constraint located on B17 is decreased by 200, what is the effect on the value of the objective function?
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