Consider the following all$-$integer linear program.

Max $1x_1+1x_2$

$s.t.$

$5x_1+6x_{2}46$

$1x_1+7x_{2}21$

$2x_1+1x_{2}17$

$x_1,x_{2}0$ and integer

$($a$)$ Graph the constraints for this problem. Use dots to indicate all feasible integer solutions.