Consider the following sensitivity report: Sensitivity Report Variable Cells Allowable Final Reduced Objective Allowable Cell Name Value Cost Coefficient Increase Decrease $B$2 Coffee blend A (x1) $C$2 Coffee Blend B (x2) 120 0 1.95 E+30 3.083333333 80 0 1.7 E+30 4.625 Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease SD$10 Available quanitity of Coffee G $D$11 Proportion of sales SDS7 Brewing capacity SDS8 Available quanitity of Coffee B SD$9 Available quanitity of Coffee T 78 0 80 E+30 2 0 33.33333333 0 0.1 50 200 185 200 5.128205128 200 0 74 80 E+30 6 48 0 80 E+30 32 What would be the change in optimal solution if the objective coefficient for variable xl is changed from 1.95 to 2? a) Final value for X1 will increase, but final value of X2 will decrease b) Final value for X1 will increase, but final value of X2 will remain unchanged c) No change would take place in the final value of Xl and X2 d) Can't be determined due to insufficient information

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
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Consider the following sensitivity report:
Sensitivity Report
Variable Cells
Allowable
Final Reduced Objective Allowable
Cell
Name
Value Cost
Coefficient
Increase
Decrease
$B$2 Coffee blend A (x1)
$C$2 Coffee Blend B (x2)
120
0
1.95
E+30 3.083333333
80
0
1.7
E+30
4.625
Constraints
Final Shadow Constraint Allowable
Allowable
Cell
Name
Value Price
R.H. Side
Increase
Decrease
SD$10 Available quanitity of Coffee G
$D$11 Proportion of sales
SDS7 Brewing capacity
SDS8 Available quanitity of Coffee B
SD$9 Available quanitity of Coffee T
78
0
80
E+30
2
0 33.33333333
0
0.1
50
200
185
200 5.128205128
200
0
74
80
E+30
6
48
0
80
E+30
32
What would be the change in optimal solution if the objective coefficient for
variable xl is changed from 1.95 to 2?
a) Final value for X1 will increase, but final value of X2 will decrease
b) Final value for X1 will increase, but final value of X2 will remain unchanged
c) No change would take place in the final value of Xl and X2
d) Can't be determined due to insufficient information
Transcribed Image Text:Consider the following sensitivity report: Sensitivity Report Variable Cells Allowable Final Reduced Objective Allowable Cell Name Value Cost Coefficient Increase Decrease $B$2 Coffee blend A (x1) $C$2 Coffee Blend B (x2) 120 0 1.95 E+30 3.083333333 80 0 1.7 E+30 4.625 Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease SD$10 Available quanitity of Coffee G $D$11 Proportion of sales SDS7 Brewing capacity SDS8 Available quanitity of Coffee B SD$9 Available quanitity of Coffee T 78 0 80 E+30 2 0 33.33333333 0 0.1 50 200 185 200 5.128205128 200 0 74 80 E+30 6 48 0 80 E+30 32 What would be the change in optimal solution if the objective coefficient for variable xl is changed from 1.95 to 2? a) Final value for X1 will increase, but final value of X2 will decrease b) Final value for X1 will increase, but final value of X2 will remain unchanged c) No change would take place in the final value of Xl and X2 d) Can't be determined due to insufficient information
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