Remaining Time: 1 hour, 12 minutes, 45 seconds. Question Completion Status: ? Cl

Question

Remaining Time: 1 hour, 12 minutes, 45 seconds. Question Completion Status: ? Click Submit to complete thr Question 7 Sensitivity Information 123 4567 S.T abjective Function Value 75.000 Variable Val ue Reduced Costs 7.500 15.000 0,000 0.000 0.000 1.500 Constraint Slack/Surp Ius Dual Prices 0.000 0.000 2.500 -4.000 0.500 0.000 OBJECT IVE COPFFICTENT RANGES Variable Lower Linit Current Value Upper Linit 0.000 2.000 4.500 4.000 3.000 6.000 6.000 6.000 No Upper Limit RIGHT HAND SIDE RANGES Constraint Loer Lindt Current Value Upper Linit 12.500 20.000 No Lower Linit 15.000 30.000 No Upper Linit 60.000 22.500 20.000 3 4 5 6

Explanation / Answer

The z-value can't increase since the original solution still satisfies the constraints and we get z*=75<77

When the right-hand side of constraint 2 is decreased by 4 we get 30.4=26 which is in the invertal (20,60).

(These are the lower and upper limists of the second constraint)

So the range of optimallity is still satisfied.

Also recall that in the dual problem, the right-hand side values become the prices of the dual variables. So the price associated with constraint 2 will change

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