VI$.(12$ pts$)$ Using Excel Solver to solve the linear program below;

Max

S$.$T$.$

$3,000$X$1+7,000$X$2$

$200$X$1+500$X

X$1>=10$

X$2>=10$

XI $-$ X$2>=0$

$(6\mathrm{.}1)(6$ pts$)$ The optimal solution is:

$(6\mathrm{.}2)(3$ pts$)$ The optimal objective function value is:

$(6\mathrm{.}3)(3$ pts$)$ With the optimal solution, the value of LHS of the first constraint is: