The binding constraints for this problem are the first and the nonnegativity constraint $x_{2}0.$

Min $x_1+2x_2,$

$s.t.x_1+x_2,300$

$2x_1+x_2,400$

$2x_1+5x_2,750$

$,x_1,x_2,0$

$a.$ Keeping $c_2$ fixed $at2,$ over what range can $c_1$ vary before there $is$ a change $in$ the optimal solution

point?

$b.$ Keeping $c_1$ fixed $at1,$ over what range can $c_2$ vary before there $is$ a change $in$ the optimal solution

point?

$c.If$ the objective function becomes Min $1\mathrm{.}5x_1+2x_2,$ what will $be$ the optimal values $of{x}_1,x_2,$ and

the objective function?

$d.If$ the objective function becomes Min$7x_1+6x_2,$ what constraints will $be$ binding?

$e.$ Find the dual price for each constraint $in$ the original problem.

TOPIC: Graphical $sensitivity$ analysis