Homework Assignment No$.1$

Consider the following problem:

Minimize $Z=x_1+2x_2,$

subject $to$

$-x_1+x_2,15$

$2x_{1+}{x}_2,90$

$x_2,330$

$x_1^{3}0,x_2^{3}0.$

and

$($a$)$ Solve this problem graphically.