Assignment$-6$: Solve the following linear programming problem using excel solver.

Note: Consider it as Simplex LP

Maximize $10x_1+6x_2+3x_3$

Subject $to$

$1x_1+1x_2+2x_{3}25$

$2x_1+1x_2+4x_{3}40$

$1x_1+2x_2+3x_{3}40$

$x_1,x_2,x_{3}0$

Determine the range of optimality for each coefficient in the objective function.

Hint: use sensitivity report.