$1.$ What is the optimal objective function value for this problem given the table below? $(3$pts$)$ Objective Coefficient Allowable Decrease Variable cells Final Reduced Cell Name Value Cost $B$$6|$Activity $1131$ $C$$6$ Activity $216$ O $D$$6$ Activity $31030$ Allowable Increase $231507171401011$E$+3020$ Constraints Cell Name $E$$2$ Resource Al $E$$3$ Resource B $E$$4$ Resource C Final Shadow Value Price $207\mathrm{.}783018$ Constraint R$.$H$.$ Side $203040$ Allowable Increase $10501$E$+30$ Allowable Decrease $12\mathrm{.}5102216$