$2\mathrm{.}13.*$ You are given the following linear programming model $in$ algebraic form, with $x_1$ and $x_{2}as$ the decision variables and

constraints $on$ the usage $of$ four resources:

Maximize $,$ Prolit $=2x_1+x_2$

subject $to$

$x_{2}10($ resource $1)$

$2x_1+5x_{2}60(resource2)$

$x_1+x_{2}18(resource3)$

$3x_1+x_{2}44(resource4)$

and

$x_{1}0,x_{2}0$

$a.$ Use the graphical method $to$ solve this model.

$b.$ Incorporate this model into a spreadsheet and then use Solver $to$ solve this model.