Question

hapter 5 Quiz (pp. 150-162) Saved Help In linear programming, what-if analysis is associated with determining the effect of changing I. objective function coefficients Il. right-hand side values of constraints. IlI. decision variable values. 0150-13) Multiple Choice eBook objective function coefficients and right-hand side values of constraints References right-hand side values of constraints and decision variable values objective function coefficients, right-hand side values of constraints, and decision variable values objective function coefficients and decision veriable values None of the choices is correct newconnect.mheducation.com/flow/connect.html Quiz (pp. 150-162) Help Save & Exit Submit Variable cells Final Reduced Objective Cell Name Value Cost CoefficientA Allowable Increase Allowable Decrease B$6 Activity 1 $C$6 Activity 2 D$6 Activity 3 Constraints 30 23 17 0 4e 50 1e 20 Final Shadow Allowable Allowable Cell Name Value Price Constraint R.H. Side Increase Decrease SES2 Resource A20 7.78 20 10 12.5 SE$3 Resource B 30 30 10 SES4 Resource C 18 What is the allowable range for the objective coefficient for Activity 2? Multiple Choice -44 sA2 S 16 4 SA2S 56 iz (pp. 150-162) 6 Help Save & Exit Subm Variable cells Final Reduce Value Objective Cell Name Cost Coefficient Allowable Increase Allowable Decrease B$6 Activity 1 0 38 23 17 $C$6 Activity 2 $D$6 Activity 3 6 40 50 10 1E+30 20 Constraints Shadow Final Allowable Allowable Cell Name Value Price Constraint R.H. Side Increase Decrease 12.5 $E$2 Resource A 20 10 20 7.78 10 30 50 SES3 Resource B SE$4 Resource c 30 1E+30 40 18 If the coefficient for Activity 3 in the objective function changes to $30, then the objective function value Multiple Choice will increase by $70. is $o. will increase by $30.

Answer 1

Answer:

1)

What-ifanalysis allows one to study how changing one or more values affect results. In linear programming, what-if analysis is associated with determining the effect of changing objective function coefficients right-hand side values of constraints Decision variables It is referred to as the independent variables. These values can change and affect the results. Change in the value of the decision variable value, will have an effect on the results.

Option C

2) Allowable changes in the objective coefficient is allowable changes in objective coefficient that will not change the optimal solution and can be seen in sensitivity in allowable increase and allowable decrea Activity 2, allowable increase 50 & Allowable decrease 10 So Allowable range for objective coefficient of Activity 2 is (-10, 50) -10-A2-50 Option A 10 A2 50 3)20 to 30 is 10 increase. Allowable increase 7 No change in the final values. Objective function +0(0) 0 So objective function value will be same.