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Consider the following model: Max 6x + 2y S.T.: 1) x + 2y ≤ 60 2) 3x + 2y ≥ 70 3) y ≥ 5 4) x,y ≥ 0. The optimal solution is (x-50, y=5). Total Profit = 310. Sensitivity Report: Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $C$9 boxes x $D$9 boxes y Constraints 50 5 $C$14 1) LHS $C$15 2) LHS $C$16 3) LHS 0 0 60 160 5 Final Shadow Cell Name Value Price R.H. Side 6 1E+30 2 10 6 0 -10 Constraint Allowable Allowable Increase Decrease 60 70 5 5 1E+30 1E+30 90 22.5 30 1E+30 5 Based on the above report, which constraints are binding? Constraint 1 only Constraint 2 and 3 Constraint 2 only

Consider the following model: Max 6x + 2y S.T.: 1) x + 2y ≤ 60 2) 3x + 2y ≥ 70 3) y ≥ 5 4) x,y ≥ 0. The optimal solution is (x-50, y=5). Total Profit = 310. Sensitivity Report: Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $C$9 boxes x $D$9 boxes y Constraints 50 5 $C$14 1) LHS $C$15 2) LHS $C$16 3) LHS 0 0 60 160 5 Final Shadow Cell Name Value Price R.H. Side 6 1E+30 2 10 6 0 -10 Constraint Allowable Allowable Increase Decrease 60 70 5 5 1E+30 1E+30 90 22.5 30 1E+30 5 Based on the above report, which constraints are binding? Constraint 1 only Constraint 2 and 3 Constraint 2 only

Advanced Engineering Mathematics
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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Consider the following model: Max 6x + 2y S.T.: 1) x + 2y ≤ 60 2) 3x + 2y ≥ 70 3) y ≥ 5 4) x,y ≥ 0. The optimal solution is (x=50, y=5). Total Profit = 310. Sensitivity Report: Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $C$9 boxes x $D$9 boxes y Constraints 50 5 $C$14 1) LHS $C$15 2) LHS $C$16 3) LHS Cell Name Value Price 0 60 160 5 0 6 2 Final Shadow Constraint Allowable Allowable R.H. Side Increase Decrease 1E+30 90 22.5 6 0 -10 60 1E+30 10 70 5 5 1E+30 30 1E+30 5 Based on the above report, which constraints are binding? Constraint 1 only Constraint 2 and 3 Constraint 2 only
Transcribed Image Text:Consider the following model: Max 6x + 2y S.T.: 1) x + 2y ≤ 60 2) 3x + 2y ≥ 70 3) y ≥ 5 4) x,y ≥ 0. The optimal solution is (x=50, y=5). Total Profit = 310. Sensitivity Report: Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $C$9 boxes x $D$9 boxes y Constraints 50 5 $C$14 1) LHS $C$15 2) LHS $C$16 3) LHS Cell Name Value Price 0 60 160 5 0 6 2 Final Shadow Constraint Allowable Allowable R.H. Side Increase Decrease 1E+30 90 22.5 6 0 -10 60 1E+30 10 70 5 5 1E+30 30 1E+30 5 Based on the above report, which constraints are binding? Constraint 1 only Constraint 2 and 3 Constraint 2 only
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