Max $63E+95S+135D$

s$.$t$.$

The computer solution is shown below.

$($a$)$ Identify the range of optimality for each objective function coefficient. $($If there is no upper or lower limit$,$ enter NO LIMIT.$)$

E

to

$s$

to

D

to

E

pro

units

profit

$7$ units

$($c$)$ Identify the range of feasibility for the right$-$hand$-$side values. $($If there is no upper or lower limit$,$ enter NO LIMIT.$)$

constraint $1$

to

constraint $2$

to

constraint $3$

to

$($d$)$ If the number of fan motors available for production is increased by $25,$ will the dual value for that constraint change? Explain.

Yes, the dual value will change because $25$ is greater than the allowable increase of $12.$

Yes, the dual value will change because $25$ is greater than the allowable increase of $5.$

No$,$ the dual value will not change because $25$ is less than the allowable increase of $265.$

No$,$ the dual value will not change because there is no upper limit to how much the constraint can increase.