Use Sensitivity Information Set C. If the right hand side of constraint 1 increa

Question

Use Sensitivity Information Set C. If the right hand side of constraint 1 increases by 8.5 units, what answer characterizes the impact on the optimal solution?

z-value = 2157.75

z-value = 2065.875

z-value = 2182.25

z-value = 2274.125

A

z-value = 2157.75

B

z-value = 2065.875

C

z-value = 2182.25

D

z-value = 2274.125

S.T 1) 1x1+1x3 100 2) 1x2 +1x4 150 3) 4X1 +3X 600 4) 6X1 +8X2- 1080 OPTIMAL SOLUTION objective Function Value 2170.000 Variable Reduced Costs value X1 100.000 0.000 60.000 X2 0.000 X3 0.000 1.750 90.000 X4 0.000 slack/surplus Constraint Dual Prices 0.000 12.250 0.000 9.000 20.000 0.000 0.000 0.375 OBJECTIVE COEFFICIENT RANGES variable Lower Limit Current Value Upper Limit 10.000 X1. No Lower Limit 11.750 6.000 X2 3.667 9.000 X3 12.250 14.000 No Upper Limit 11.333 X4 6.000 9.000 RIGHT HAND SIDE RANGES Constraint Lower Limit Current Value Upper Limit 0.000 100.000 111.429 60.000 150.000 No Upper Limit 580.000 600.000 No Upper Limit 600.000 1080.000 1133 333

Explanation / Answer

The constraint 1 increased by 8.5 units

From the report the constraint 1 is= -12.250

The constraint will be reduce the objective function by =8.5*-12.250 = - 104.125

Given objective function z value =2170.000

So z- value =2170 -104.125 =2065.875

hence option B is correct

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