Max $3$X$1+2$X$2$

$(2/4)$X$1+(1/4)$X$2<40($#$1$ constraint$)$

$1$X$1+(10/9)$ X$2<100($#$2$ constraint$)$

$1$X$1+2\mathrm{.}5$X$2<200($#$3$ constraint$)$

X$1$ and X$2>0$

$11).$ Please use graphical method to find the FEASIBLE REGION. Please LABEL the $3$ constraints in your graph and indicate all the points you used.

$2).$ Please draw an objective function line $($must write the equations here$)$ in the graph of $1)$ Mark the optimal solution as a star.

$3).$ Please list the system of two equations $($crossing at the optimal solution point$)$

$4).$ Please get the optimal solution of $3)$: How much is X$1$ and X$2?$ You need to indicate the maximized output of the objective function.