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Use Sensitivity Information. If the right hand side of constraint 1 increases by 9 units, what answer characterizes the impact on the optimal solution?

Use Sensitivity Information. If the right hand side of constraint 1 increases by 9 units, what answer characterizes the impact on the optimal solution?

Practical Management Science
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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Use Sensitivity Information. If the right hand side of constraint 1 increases by 9 units, what answer characterizes the impact on the optimal solution?

MIN 10X₁+6X₂ +14X3 +9X4 S.T. 1) 1x₁+1x3 100 2) 1X₂+1X4-150 3) 4X₁+3X₂<600 4) 6X₁+8X₂<1080 OPTIMAL SOLUTION Objective Function Value = Variable x1 Constraint 1 2 X2 X3 X4 X2 X3 X4 OBJECTIVE COEFFICIENT RANGES Lower Limit Variable x1 3 4 3 Constraint 1 2 ليا عطر RIGHT HAND SIDE RANGES 4 Value 100.000 60.000 0.000 90.000 slack/Surplus No Lower Limit 3.667 12.250 6.000 Lower Limit 0.000 60.000 2170.000 580.000 600.000 0.000 0.000 20.000 0.000 Reduced Costs 0.000 0.000 1.750 0.000 Dual Prices -12.250 -9.000 0.000 0.375 Current Value. 10.000 6.000 14.000 9.000 Current Value 100.000 150.000 600.000 1080.000 Upper Limit 11.750 9.000 No Upper Limit 11.333 Upper Limit 111.429 No Upper Limit No Upper Limit 1133.333
Transcribed Image Text:MIN 10X₁+6X₂ +14X3 +9X4 S.T. 1) 1x₁+1x3 100 2) 1X₂+1X4-150 3) 4X₁+3X₂<600 4) 6X₁+8X₂<1080 OPTIMAL SOLUTION Objective Function Value = Variable x1 Constraint 1 2 X2 X3 X4 X2 X3 X4 OBJECTIVE COEFFICIENT RANGES Lower Limit Variable x1 3 4 3 Constraint 1 2 ليا عطر RIGHT HAND SIDE RANGES 4 Value 100.000 60.000 0.000 90.000 slack/Surplus No Lower Limit 3.667 12.250 6.000 Lower Limit 0.000 60.000 2170.000 580.000 600.000 0.000 0.000 20.000 0.000 Reduced Costs 0.000 0.000 1.750 0.000 Dual Prices -12.250 -9.000 0.000 0.375 Current Value. 10.000 6.000 14.000 9.000 Current Value 100.000 150.000 600.000 1080.000 Upper Limit 11.750 9.000 No Upper Limit 11.333 Upper Limit 111.429 No Upper Limit No Upper Limit 1133.333
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