Consider the following LP model:

Maximize $Z=2x_1+3x_2$

Subject to

$x_1+2x_{2}30$

$x_1+x_{2}20$

and

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

a$)$ Use hand calculatioas so solve this problem by the simplex method in algebraic form.

b$)$ Use hand calculations to solve this problem by the simplex method in tabular form.

c$)$ Desplay the model on an Excel spreadsheet.