The following linear programming problem has been written to plan the production of two products using two inputs $-$ labor and materials. The company wants to maximize its profits.

$x1=$ number of product $1$ produced in each batch

$x2=$ number of product $2$ produced in each batch

MAX: $15x1+25x2,$

Subject $to$: $2x1+5x220(labor)$

$,3x1+7x242(materials)$

$,x1,x20,$

If the firm did not produce product $2$ at all $($i$.$e$.,x_2=0)$ the maximum profit it could earn is

a$.250$

b$.200$

c$.150$

d$.90$