Points$]$

The binding constraints for this problem are the second and third constraints are binding.

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 the second objective function coefficient fixed at $2,$ over what range can the first objective function coefficient vary

before there is a change in the optimal solution point?

The first objective coefficient can from a low of

to a high of

$($b$)$ Keeping the first objective function coefficient fixed at $1,$ over what range can the second objective function coefficient vary

before there is a change in the optimal solution point?

The second objective coefficient can from a low of

to a high of

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

$x_1=(No$ Response$)$

$x_2=(No$ Response$)$

What is the value of the objective function at the minimum?

$($d$)$ If the objective function becomes Min $7x_1+6x_2,$ what constraints will be binding? $($Select all that apply.$)$

First Constraint

Second Constraint

Third Constraint

$($e$)$ What is the dual value for the first constraint in the original problem?

$($No Response$)$

What is the dual value for the second constraint in the original problem?

What is the dual value for the third constraint in the original problem?

$($No Response$)$

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