Consider the following sensitivity report:Sensitivity ReportVariable CellsAllowableFinal Reduced Objective AllowableCellNameValue CostCoefficientIncreaseDecrease$B$2 Coffee blend A (x1)$C$2 Coffee Blend B (x2)12001.95E+30 3.0833333338001.7E+304.625ConstraintsFinal Shadow Constraint AllowableAllowableCellNameValue PriceR.H. SideIncreaseDecreaseSD$10 Available quanitity of Coffee G$D$11 Proportion of salesSDS7 Brewing capacitySDS8 Available quanitity of Coffee BSD$9 Available quanitity of Coffee T78080E+3020 33.3333333300.150200185200 5.12820512820007480E+30648080E+3032What would be the change in optimal solution if the objective coefficient forvariable xl is changed from 1.95 to 2?a) Final value for X1 will increase, but final value of X2 will decreaseb) Final value for X1 will increase, but final value of X2 will remain unchangedc) No change would take place in the final value of Xl and X2d) Can't be determined due to insufficient information

Question
Asked Sep 9, 2019

12

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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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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When the value of objective coefficient (OF) is changed from 1.95 to 2 the optimality range is not violated and hence the optimal solution remains optimal with no changed value of x1...

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