a. What is the optimal solution?

b. What is the optimal value of the objective function?

c. Which constraints are binding?

d. The third constraint has 20 in the slack column. Is this value a slack or a surplus value? Explain your reasoning.

e. Write the objective function of the decision variables.

f. The decision variable AP has a reduced cost of 1.75. How do you interpret this?

g. Suppose the coefficient for the decision variable AM is now 11. Would the optimal solution change? Explain why or why not.

h. What would happen if you are given an extra 10 hours of injection molding time? Would the optimal solution change? How much change would we have in the objective function?

Answer the following question by using answer and sensitivity reports to the LP shown bellow. The decision variables are AM: number of cases of model A manufactured BM: number of cases of model B manufactured AP: number of cases of model A purchased BP: number of cases of model B purchased Min 10 AM + 6BM + 14AP + 9BP s.t. AM + AP = 100. BM + BP = 150. Demand for model A Demand for model B 4AM + 3BM S 600. Assembly time 6AM + 8BM $ 1080. Injection molding time AM.AP.BM.PB 2 0 Answer Report Sensitivity Report Original Value Cell Name $A$7 objective function Final Value 2170 o Variable Cells Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease SA$3 AM 100 0 o 10 1.75 15:30 58$3 BM 60 0 6 3 2.333333333 $C$3 AP 0 1.75 15.30 175 $D$3 BP 90 0 9 2.333333333 Name Cell $A$3 AM $853 BM $C$3 AP $D$3 BP Original Value 0 0 0 0 Final Value Integer 100 Contin 60 Contin O Contin 90 Contin Constraints Constraints Final Shadow Cell Name Value Price SFS10 100 12 25 SF511 150 9 $F$12 580 0 $F$13 1080 -0.375 Call Value Formula Status Slack Constraint Allowable RH Side Increase 100 11 42857143 150 15.30 500 IF 30 108 51 33333333 Allowable Decrease 100 90 20 480 SE51 100 SF510 SO$10 Binding 0 SF51 1 150 SF511-56511 Binding NOE SO515120-50$12 Sinding 20 100 SF51356513 Sunding Answer the following question by using answer and sensitivity reports to the LP shown bellow. The decision variables are AM: number of cases of model A manufactured BM: number of cases of model B manufactured AP: number of cases of model A purchased BP: number of cases of model B purchased Min 10 AM + 6BM + 14AP + 9BP s.t. AM + AP = 100. BM + BP = 150. Demand for model A Demand for model B 4AM + 3BM S 600. Assembly time 6AM + 8BM $ 1080. Injection molding time AM.AP.BM.PB 2 0 Answer Report Sensitivity Report Original Value Cell Name $A$7 objective function Final Value 2170 o Variable Cells Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease SA$3 AM 100 0 o 10 1.75 15:30 58$3 BM 60 0 6 3 2.333333333 $C$3 AP 0 1.75 15.30 175 $D$3 BP 90 0 9 2.333333333 Name Cell $A$3 AM $853 BM $C$3 AP $D$3 BP Original Value 0 0 0 0 Final Value Integer 100 Contin 60 Contin O Contin 90 Contin Constraints Constraints Final Shadow Cell Name Value Price SFS10 100 12 25 SF511 150 9 $F$12 580 0 $F$13 1080 -0.375 Call Value Formula Status Slack Constraint Allowable RH Side Increase 100 11 42857143 150 15.30 500 IF 30 108 51 33333333 Allowable Decrease 100 90 20 480 SE51 100 SF510 SO$10 Binding 0 SF51 1 150 SF511-56511 Binding NOE SO515120-50$12 Sinding 20 100 SF51356513 Sunding