Refer to the following sensitivity report to answer the following What is the op

Question

Refer to the following sensitivity report to answer the following

What is the optimal objective function value for this problem?

A. $7.78

B. $240

C. $90

D. $330

What is the allowable range for changes in the objective coefficient for Activity 2?

D. 20 A2 80

Refer to the following sensitivity report to answer the following

Variable Cells Cell Name Final Value Reduced Cost Objective Coefficeint Allowable Increase Allowable Decrease $B$6 Activity 1 3 0 30 23 17 $C$6 Activity 2 6 0 40 50 10 $D$6 Activity 3 0 -7 20 7 1E+30 Constraints Cell Name Final Value Shadow Price Constraint RHL Side Allowable Increase Allowable Decrease $E$2 Resource A 20 7.78 20 10 12.5 $E$3 Resource B 30 6 30 50 10 $E$4 Resource C 18 0 40 1E+30 22

What is the optimal objective function value for this problem?

A. $7.78

B. $240

C. $90

D. $330

What is the allowable range for changes in the objective coefficient for Activity 2?

A. -10 A2 50 B. -44 A2 16 C. 30 A2 90

D. 20 A2 80

Explanation / Answer

Objective Function = 30* Activity1 + 40* Activity2+ 20* Activity3 -------------------- Equation 1

30,40 & 20 are coefficient of objective variables in objective function and can be finmd out in variable cells under objective coefficient

Now Optimal Solution is final value in variable cells

Activity 1= 3

Activity 2= 6

Activity 3 = 0

Put these values in equstion 1

Objective Function = 30*3+40*6+20*0 = 330

Asnwer - D = 330

What is the allowable range for changes in the objective coefficient for Activity 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 analysis in allowable increase and allowable decrease

For Activity 2 , allowable increase = 50 & Allowable decrease = 10 .

so Allowable range for objective coefficient of Activity 2 is {-10,50}

-10 <=A2<=50

Answer A = -10 <=A2<=50

What is the allowable range for changes in the objective coefficient for Activity 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 analysis in allowable increase and allowable decrease

For Activity 2 , allowable increase = 50 & Allowable decrease = 10 .

so Allowable range for objective coefficient of Activity 2 is {-10,50}

-10 <=A2<=50

Answer A = -10 <=A2<=50

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