What is the optimal objective function value for this problem?Variable CellsCellNameFinal ValueReduced CostObjective CoefficientAllowable IncreaseAllowable Decrease$B$6Activity 130302317$C$6Activity 260405010$D$6Activity 30–72071E+30 ConstraintsCellNameFinal ValueShadow PriceConstraint R.H. SideAllowable IncreaseAllowable Decrease$E$2Resource A207.78201012.5$E$3Resource B306305010$E$4Resource C180401E+3022 Group of answer choices$240$330It cannot be determined from the given information.$7.78$90
Question
What is the optimal objective function value for this problem?Variable CellsCellNameFinal ValueReduced CostObjective CoefficientAllowable IncreaseAllowable Decrease6Activity 1303023176Activity 2604050106Activity 30–72071E+30 ConstraintsCellNameFinal ValueShadow PriceConstraint R.H. SideAllowable IncreaseAllowable Decrease2Resource A207.78201012.53Resource B3063050104Resource C180401E+3022 Group of answer choices330It cannot be determined from the given information.90
Solution
The optimal objective function value for this problem is calculated by multiplying the final value of each activity by its respective objective coefficient and then summing these products.
For Activity 1: 30 * 3023 = 90690 For Activity 2: 60 * 4050 = 243000 For Activity 3: 0 * 720 = 0 (since the final value is negative, it is considered as zero)
Adding these up, we get 90690 + 243000 + 0 = 333690
However, the options provided do not include this value. Therefore, it cannot be determined from the given information.
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