1. What is the optimal objective function value for this problem? A. $7.78 B. $2

Question

1. What is the optimal objective function value for this problem?

A. $7.78

B. $240

C. $90

D. $330

2. 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

Refer to the following sensitivity report to answer the following Variable Cells Cell Name Allowable Decrease Final Value Reduced Cost Objective Coefficeint Allowable Increase $B$6 Activity 1 3 3 23 $C$6 Activity 26 50 10 $D$6 Activity 30 0 -7 1E+30 Constraints Cell Name Final Shadow Price Constraint RHL Side Allowable Increase Allowable Decrease Value $E$2 Resource 207.78 20 12.5 co $E$3 Resource 30 on $E$4 Resource 1E+30

Explanation / Answer

Solution :

1 : Option : D : 330

Optimal Objective Function Value = Summation of ( Activity Final Value * Objective Coefficient)

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

2 : Option : C : 30 <= A2 <= 90

Lower Limit = Objective coefficient - Allowable Decrease = 40 - 10 = 30

Upper Limit = Objective coefficient + Allowable Increase = 40 + 50 = 90

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