MGM 315 2-4-16 Classwork

# MGM 315 2-4-16 Classwork - \$G\$8 0.375.857142857 Constraints...

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Microsoft Excel 14.0 Sensitivity Report Worksheet: [Book1]Sheet1 Report Created: 2/4/2016 12:32:29 PM Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease \$B\$1 1.5 0 6 6 6 \$C\$1 2 0 9 1.000E+030 4.5 Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease \$D\$4 s.t objective 5.5 0 8 1.000E+030 2.5 \$D\$5 objective 30 0.6 30 25 15 \$D\$6 objective 2 4.5 2 2 2

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1.5 2 Min 6 9 objective 27 s.t 1 2 5.5 <= 8 10 7.5 30 >= 30 0 1 2 >= 2 Min 6x+9y s.t. 1x+2y <= 8 10x+7.5y >= 30 y >= 2 x,y >= 0 X=x1 Y=x2 If 6 was decreased to 4 then the optional solution will remain the same since there is an allowable decrease of 6 but you're only dropping 4 (look at sensitivity report) With an increase of 1 from 2 to 3 on constraint 3 there is an objective increase of 4.5 (look at sensentivity report)
Microsoft Excel 14.0 Sensitivity Report Worksheet: [315 Classwork.xlsx]Ex 2 Report Created: 2/4/2016 1:05:03 PM Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease \$B\$8 0.2708333333 0 1800 51.428571429 72 \$C\$8 Manufactuer # 0 37.5 1764 1.00000E+030 37.5 \$D\$8 X 0.7291666667 0 1650 36.734693878 51.428571429 \$E\$8 Y 0 60 2160 1.00000E+030 60 \$F\$8 Z 0.625 0 2016 42.857142857 1.00000E+030

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Unformatted text preview: \$G\$8 0.375 1925 60 42.857142857 Constraints Final Shadow ConsTrainT Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease \$H\$11 ObjecTve 13.541666667 40 1.00000E+030 26.458333333 \$H\$12 ObjecTve 30-1.75 30 11.142857143 21.771428571 \$H\$13 ObjecTve 35-5 35 8.125 15.875 \$H\$14 ObjecTve 1 1800 1 0.5291666667 0.2708333333 \$H\$15 ObjecTve 1 2100 1 0.4535714286 0.2321428571 X = CM1 X Y Z A1,A2,A3 Y= CM2 oak hours 50 42 30 B1,B2,B3 Z = CM3 cherry hours 60 48 35 Max hours avaliable 40 30 35 Cost/hr 36 42 55 Manufactuer # 1 2 3 Minimize total cost 0.271 0.729 0.625 0.375 Minimize 1800 1764 1650 2160 2016 1925 ObjecTve S.±. 50 60 13.541667 42 48 30 30 35 35 1 1 1 Minimize (50*36)A1+(42*42)A2+(30*55)X3+(60*36)B1+(4 1800 1764 1650 2160 2016 1925 Minimize A3+2160B1+2016B2+1925B3 S.±. A1+60B1 <= 40 42A2+48B2 <= 30 30A3+35B3 <= 35 A1+A2+A3 = 1 B1+B2+B3 = 1 is 1total of oak produced by 1 2 3 is total of cherry produced by 1 2 3 3672.5 <= 40 <= 30 <= 35 = 1 = 1 (48*42)B2+(35*55)B3...
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