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

Max $2,500x_1+6,000x_2$

$S.T.200x_1+520x_{2}45,000$

$,x_{1}50$

$,x_{2}25$

$,x_1-x_{2}0$

$(6\mathrm{.}1)(6$ 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 con