Consider the following L $.$ P $.$ ?Model:

?Maximize $Z=,30x_1+10x_2$

?Subject $to$ : $3x_1+1x_2?300,(C_1)$

$,1x_1+1x_2?200,(C_2)$

$,1x_1?100,(C_3)$

$,1x_2?50,(C_4)$

$,x_1,x_2?0$

Constraints, $C_1,C_2,C_3,$ ?and $C_4$ ?have been drawn on the graph to the right.

a $)$ ?Using the point drawing tool, locate all the corner points for the feasible area on the graph.

The optimum solution is:

$x_1=($ round your response to four decimal places $).$