Q$1.$ Which of the following constraints are not linear or cannot be included as a

constraint in a linear programming problem?

$a.2x_1+x_2-3x_{3}50$

$b.2x_1+\sqrt[\phantom{2}]{x_2}=50$

$c.2x_1+\frac{1}{3}{x}_{2}50$

$d.\frac{2x_1+3x_2}{x_1+x_2}0\mathrm{.}9$

$e.2x_1+x_2^{2}10$

Q$2.$ Solve the following LP problem graphically by enumerating the corner points.

max,$4x_1+3x_2$

$S.t.x_{1}12$

$,x_{2}10$

$,4x_1+6x_{2}72$

$,x_1,x_{2}0$