management science

Minimization problem output above. 1) If the right hand side of constraint 1 decreased 22,000 units from 420,000 to 398,000 and constraint 3 increased 30 units from 0 to 30, are the corresponding dual prices still valid? (Explain and show detail work) 2) Use the information above to calculate the new objective function value as if the dual prices are still valid. 3) We just found out that we can obtain an additional 5 units of the resource that constraint l's right side represents. The price for the additional units is $125.55 for all 5 and we usually pay $25.09 per unit for this resource. This resource is known to be a RELEVANT cost. Would you accept the additional units? Explain your answer using information on the above output. The Management Scientist Version 6.0 File Edit Solution Objective function value 500.000 Variable Value Reduced Costs 28.000 0.000 0.000 28.000 0.000 2.000 12.000 0.000 Constraint Slack/Surplus Dual Prices 0.000 6.000 0.000 52.000 0.012 0.000 -2.000 0.000 OBJECTIVE COEFFICIENT RANGES Variable Lover Linit Current Value Upper Linit 68.125 No Lover Linit No Lover linit 93.636 70.000 80.000 50.000 110.000 115.000 82.000 62.000 Ho Upper Linit RIGHT HAND SIDE PANGES Constraint Lover linit Current False Upper Liit 375000.000 No Lover Lanit -30.000 No Lover linit 420000.000 50.000 0.000 200.000 No Upper Lint 56.000 70.000 252.000 Minimization problem output above. 1) If the right hand side of constraint 1 decreased 22,000 units from 420,000 to 398,000 and constraint 3 increased 30 units from 0 to 30, are the corresponding dual prices still valid? (Explain and show detail work) 2) Use the information above to calculate the new objective function value as if the dual prices are still valid. 3) We just found out that we can obtain an additional 5 units of the resource that constraint l's right side represents. The price for the additional units is $125.55 for all 5 and we usually pay $25.09 per unit for this resource. This resource is known to be a RELEVANT cost. Would you accept the additional units? Explain your answer using information on the above output. The Management Scientist Version 6.0 File Edit Solution Objective function value 500.000 Variable Value Reduced Costs 28.000 0.000 0.000 28.000 0.000 2.000 12.000 0.000 Constraint Slack/Surplus Dual Prices 0.000 6.000 0.000 52.000 0.012 0.000 -2.000 0.000 OBJECTIVE COEFFICIENT RANGES Variable Lover Linit Current Value Upper Linit 68.125 No Lover Linit No Lover linit 93.636 70.000 80.000 50.000 110.000 115.000 82.000 62.000 Ho Upper Linit RIGHT HAND SIDE PANGES Constraint Lover linit Current False Upper Liit 375000.000 No Lover Lanit -30.000 No Lover linit 420000.000 50.000 0.000 200.000 No Upper Lint 56.000 70.000 252.000