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Consider the LP problem in Figure QP2.3 and refer to the Solver sensitivity report in Figure QP2.4. Маx z = 2x1 + x2 + 5x3 s.t. x1 + 2x2 + x3 < 4.3 (С1) 3x1 + 2x3 < 4.6 (C2) x1 + 4x2 < 4.2 (С3) x1 >0 (C4) x2 >0 (C5) x3 >0 |(C6) FIGURE QP2.3 А В E F G 6 Variable Cells 7 Final Reduced Objective Allowable Allowable 8 Cell Name Value Cost Coefficient Increase Decrease $B$11 Solution x1 $C$11 Solution x2 $D$11 Solution x3 9 -5.25 5.25 1E+30 10 1 1 1 11 2.3 1E+30 3.5 12 13 Constraints 14 Final Shadow Constraint Allowable Allowable 15 Cell Name Value Price R.H. Side Increase Decrease 16 SE$5 C1 LHS 4.3 0.5 4,3 0,1

Consider the LP problem in Figure QP2.3 and refer to the Solver sensitivity report in Figure QP2.4. Маx z = 2x1 + x2 + 5x3 s.t. x1 + 2x2 + x3 < 4.3 (С1) 3x1 + 2x3 < 4.6 (C2) x1 + 4x2 < 4.2 (С3) x1 >0 (C4) x2 >0 (C5) x3 >0 |(C6) FIGURE QP2.3 А В E F G 6 Variable Cells 7 Final Reduced Objective Allowable Allowable 8 Cell Name Value Cost Coefficient Increase Decrease $B$11 Solution x1 $C$11 Solution x2 $D$11 Solution x3 9 -5.25 5.25 1E+30 10 1 1 1 11 2.3 1E+30 3.5 12 13 Constraints 14 Final Shadow Constraint Allowable Allowable 15 Cell Name Value Price R.H. Side Increase Decrease 16 SE$5 C1 LHS 4.3 0.5 4,3 0,1

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section9.2: Elements Of Decision Analysis
Problem 2P
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Consider the LP problem in Figure QP2.3 and refer to the Solver sensitivity report in Figure QP2.4. Маx 2x1 + x2 + 5x3 Z = s.t. xi + 2x2 + x3 < 4.3 |(C1) 3x1 + 2x3 < 4.6 |(C2) x1 + 4x2 < 4.2 (C3) x1 >0 |(C4) x2 >0 |(C5) x3 >0 |(C6) FIGURE QP2.3 A В D E F G H 6 Variable Cells 7 Final Reduced Objective Allowable Allowable 8 Cell Name Value Cost Coefficient Increase Decrease $B$11 Solution x1 $C$11 Solution x2 $D$11 Solution x3 9. -5.25 2 5.25 1E+30 10 1 1 1 11 2.3 1E+30 3.5 12 13 Constraints 14 Final Shadow Constraint Allowable Allowable 15 Cell Name Value Price R.H. Side Increase Decrease 16 SE$5 C1 LHS 4.3 0.5 4.3 0.1 2
Transcribed Image Text:Consider the LP problem in Figure QP2.3 and refer to the Solver sensitivity report in Figure QP2.4. Маx 2x1 + x2 + 5x3 Z = s.t. xi + 2x2 + x3 < 4.3 |(C1) 3x1 + 2x3 < 4.6 |(C2) x1 + 4x2 < 4.2 (C3) x1 >0 |(C4) x2 >0 |(C5) x3 >0 |(C6) FIGURE QP2.3 A В D E F G H 6 Variable Cells 7 Final Reduced Objective Allowable Allowable 8 Cell Name Value Cost Coefficient Increase Decrease $B$11 Solution x1 $C$11 Solution x2 $D$11 Solution x3 9. -5.25 2 5.25 1E+30 10 1 1 1 11 2.3 1E+30 3.5 12 13 Constraints 14 Final Shadow Constraint Allowable Allowable 15 Cell Name Value Price R.H. Side Increase Decrease 16 SE$5 C1 LHS 4.3 0.5 4.3 0.1 2
FIGURE QP2.3 A В C D E F G H 6 Variable Cells 7 Final Reduced Objective Allowable Allowable 8 Cell Name Value Cost Coefficient Increase Decrease 9 $B$11 Solution x1 -5.25 5.25 1E+30 $C$11 Solution x2 $D$11 Solution x3 10 1 1 9 1 11 2.3 1E+30 3.5 12 13 Constraints 14 Final Shadow Constraint Allowable Allowable 15 Cell Name Value Price R.H. Side Increase Decrease 16 $E$5 C1 LHS 4.3 0.5 4.3 0.1 $E$6 SE$7 17 C2 LHS 4.6 2.25 4.6 4 0.2 18 C3 LHS 4 4.2 1E+30 0.2 FIGURE QP2.4 Which constraints are binding (LHS=RHS) on the optimal solution? C2, C3 and C4 C1, C2 and C3 C1, C2 and C4 O C2, C4 and C5
Transcribed Image Text:FIGURE QP2.3 A В C D E F G H 6 Variable Cells 7 Final Reduced Objective Allowable Allowable 8 Cell Name Value Cost Coefficient Increase Decrease 9 $B$11 Solution x1 -5.25 5.25 1E+30 $C$11 Solution x2 $D$11 Solution x3 10 1 1 9 1 11 2.3 1E+30 3.5 12 13 Constraints 14 Final Shadow Constraint Allowable Allowable 15 Cell Name Value Price R.H. Side Increase Decrease 16 $E$5 C1 LHS 4.3 0.5 4.3 0.1 $E$6 SE$7 17 C2 LHS 4.6 2.25 4.6 4 0.2 18 C3 LHS 4 4.2 1E+30 0.2 FIGURE QP2.4 Which constraints are binding (LHS=RHS) on the optimal solution? C2, C3 and C4 C1, C2 and C3 C1, C2 and C4 O C2, C4 and C5
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