Consider the following sensitivity report: Sensitivity Report Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease SB$2 Coffee blend A (xl) 120 0 1.95 E+30 3.083333333 $CS2 Coffee Blend B (x2) 80 0 1.7 E+30 4.625 Constraints Final Shadow Constraint Allowable Allowable Increase Cell Name Value Price R.H. Side Decrease $D$10 Available quanitity of Coffee G SD$11 Proportion of sales SD$7 Brewing capacity SD$8 Available quanitity of Coffee B |SD$9 Available quanitity of Coffee T 78 0 80 E+30 2 0 0.1 0 33.33333333 50 200 1.85 200 5.128205128 200 74 80 1E+30 6 1E+30 48 0 80 32 What would be the change in objective function if the objective coefficient for variable xl is changed from 1.95 to 2? a) Objective function will increase by $8 b) Objective function will increase by $6 c) Objective function will remain unchanged d) Can't be determined due to insufficient information

Consider the following sensitivity report: Sensitivity Report Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease SB$2 Coffee blend A (xl) 120 0 1.95 E+30 3.083333333 $CS2 Coffee Blend B (x2) 80 0 1.7 E+30 4.625 Constraints Final Shadow Constraint Allowable Allowable Increase Cell Name Value Price R.H. Side Decrease $D$10 Available quanitity of Coffee G SD$11 Proportion of sales SD$7 Brewing capacity SD$8 Available quanitity of Coffee B |SD$9 Available quanitity of Coffee T 78 0 80 E+30 2 0 0.1 0 33.33333333 50 200 1.85 200 5.128205128 200 74 80 1E+30 6 1E+30 48 0 80 32 What would be the change in objective function if the objective coefficient for variable xl is changed from 1.95 to 2? a) Objective function will increase by $8 b) Objective function will increase by $6 c) Objective function will remain unchanged d) Can't be determined due to insufficient information

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

Consider the following sensitivity report:
Sensitivity Report
Variable Cells
Final Reduced Objective Allowable
Allowable
Cell
Name
Value
Cost
Coefficient
Increase
Decrease
SB$2
Coffee blend A (xl)
120
0
1.95
E+30 3.083333333
$CS2 Coffee Blend B (x2)
80
0
1.7
E+30
4.625
Constraints
Final Shadow Constraint Allowable
Allowable
Increase
Cell
Name
Value Price
R.H. Side
Decrease
$D$10 Available quanitity of Coffee G
SD$11 Proportion of sales
SD$7 Brewing capacity
SD$8 Available quanitity of Coffee B
|SD$9 Available quanitity of Coffee T
78
0
80
E+30
2
0
0.1
0 33.33333333
50
200
1.85
200 5.128205128
200
74
80
1E+30
6
1E+30
48
0
80
32
What would be the change in objective function if the objective coefficient for
variable xl is changed from 1.95 to 2?
a) Objective function will increase by $8
b) Objective function will increase by $6
c) Objective function will remain unchanged
d) Can't be determined due to insufficient information

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