Refer to the following sensitivity report: Variable CellsCellNameFinal ValueReduced Cost Objective CoefficientAllowableIncreaseAllowableDecrease$B$2Product_10−2521E+30$B$3Product_2175071E+301$B$4Product_30−1.591.51E+30 ConstraintsCellNameFinal ValueShadow Price Constraint R.H.SideAllowableIncreaseAllowableDecrease$H$9Resource_A001001E+30100$H$10Resource_B52508001E+30275$H$11Resource_C7001.75700366.6666667700 If the objective function coefficient for Product_1 were increased to a value of 8, which of the following would be TRUE? The optimal solution would change.The optimal objective function value would stay the same.Product_1 would enter the solution (the final value of the variable Product_1 would be greater than zero). A. 1 onlyB. 2 onlyC. 3 onlyD. 1, 2 and 3E. Only 1 and 3

Here the option E is true. According to the question as from variable cells table the increment…

Answered: Variable Cells Cell Name Final Value…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Refer to the following sensitivity report:

Variable Cells

Cell	Name	Final Value	Reduced Cost	Objective Coefficient	Allowable Increase	Allowable Decrease
$B$2	Product_1	0	−2	5	2	1E+30
$B$3	Product_2	175	0	7	1E+30	1
$B$4	Product_3	0	−1.5	9	1.5	1E+30

Constraints

Cell	Name	Final Value	Shadow Price	Constraint R.H.Side	Allowable Increase	Allowable Decrease
$H$9	Resource_A	0	0	100	1E+30	100
$H$10	Resource_B	525	0	800	1E+30	275
$H$11	Resource_C	700	1.75	700	366.6666667	700

If the objective function coefficient for Product_1 were increased to a value of 8, which of the following would be TRUE?

The optimal solution would change.
The optimal objective function value would stay the same.
Product_1 would enter the solution (the final value of the variable Product_1 would be greater than zero).

A. 1 only

B. 2 only

C. 3 only

D. 1, 2 and 3

E. Only 1 and 3

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