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Variable Cells Objective Allowable Coefficient Increase Reduced Allowable Decrease 12 0.628571429 6.444444444 8 8.546583851 0.75862069 Final Cell Name Value Cost SCS11 x1 SCS12 x2 SCS13 x3 SCS14 x4 2.560143627 3.364452424 0 -6.691561939 10 6.691561939 1E+30 15.43985637 6 6.444444444 0.628571429 Constraints Final Shadow Price 74 0.078994614 Constraint Allowable Allowable Cell Name SH$6 Used SH$7 Used 21.40125673 Value R.H. Side Increase 74 20.37142857 26.08108108 24 36 7.170278638 25.67164179 Decrease 1E+30 2.598743268 SH$8 Used SH$9 Used 36 480 0.208258528 480 79.31506849 79.22222222

Variable Cells Objective Allowable Coefficient Increase Reduced Allowable Decrease 12 0.628571429 6.444444444 8 8.546583851 0.75862069 Final Cell Name Value Cost SCS11 x1 SCS12 x2 SCS13 x3 SCS14 x4 2.560143627 3.364452424 0 -6.691561939 10 6.691561939 1E+30 15.43985637 6 6.444444444 0.628571429 Constraints Final Shadow Price 74 0.078994614 Constraint Allowable Allowable Cell Name SH$6 Used SH$7 Used 21.40125673 Value R.H. Side Increase 74 20.37142857 26.08108108 24 36 7.170278638 25.67164179 Decrease 1E+30 2.598743268 SH$8 Used SH$9 Used 36 480 0.208258528 480 79.31506849 79.22222222

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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Below tables show the Answer Report and the Sensitivity Report of the optimization Based on these two tables, answer the following questions.

  • Write the constraint quantity
  • Identify the sensitivity ranges for the constraint quantity
  • What is the unknown shadow price? (Shown as yellow)
  • Why are there 4 shadow prices?
Variable Cells Reduced Objective Allowable Coefficient Increase Final Allowable Cell Name Value Cost Decrease $CS11 x1 SCS12 x2 $C$13 x3 SC$14 x4 12 0.628571429 6.444444444 8 8.546583851 0.75862069 10 6.691561939 6 6.444444444 0.628571429 2.560143627 3.364452424 0 -6.691561939 1E+30 15.43985637 Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease SH$6 Used SH$7 Used 21.40125673 SH$8 Used 74 0.078994614 74 20.37142857 26.08108108 1E+30 2.598743268 24 36 36 7.170278638 25.67164179 $H$9 Used 480 0.208258528 480 79.31506849 79.22222222
Transcribed Image Text:Variable Cells Reduced Objective Allowable Coefficient Increase Final Allowable Cell Name Value Cost Decrease $CS11 x1 SCS12 x2 $C$13 x3 SC$14 x4 12 0.628571429 6.444444444 8 8.546583851 0.75862069 10 6.691561939 6 6.444444444 0.628571429 2.560143627 3.364452424 0 -6.691561939 1E+30 15.43985637 Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease SH$6 Used SH$7 Used 21.40125673 SH$8 Used 74 0.078994614 74 20.37142857 26.08108108 1E+30 2.598743268 24 36 36 7.170278638 25.67164179 $H$9 Used 480 0.208258528 480 79.31506849 79.22222222
Objective Cell (Max) Cell Name Original Value Final Value SCS15 Profit 150.3 150.3 Variable Cells Cell Name Original Value Final Value SCS11 x1 SCS12 x2 SCS13 x3 SCS14 x4 Integer 2.6 Contin 2.6 3.4 3.4 Contin 0.0 Contin 15.4 Contin 0.0 15.4 Constraints Cell Name Cell Value Formula Status Slack SH$6 Used SH$7 Used SH$8 Used SH$9 Used 74 SHS6<=SG$6 Binding 21.4 SHS7<=SGS7 Not Binding 2.598743268 36 SH$8<=$G$8 Binding 480 SH$9<=$G$9 Binding
Transcribed Image Text:Objective Cell (Max) Cell Name Original Value Final Value SCS15 Profit 150.3 150.3 Variable Cells Cell Name Original Value Final Value SCS11 x1 SCS12 x2 SCS13 x3 SCS14 x4 Integer 2.6 Contin 2.6 3.4 3.4 Contin 0.0 Contin 15.4 Contin 0.0 15.4 Constraints Cell Name Cell Value Formula Status Slack SH$6 Used SH$7 Used SH$8 Used SH$9 Used 74 SHS6<=SG$6 Binding 21.4 SHS7<=SGS7 Not Binding 2.598743268 36 SH$8<=$G$8 Binding 480 SH$9<=$G$9 Binding
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