Max $63E+955+135D$

$s.t.$

$1E+1S+1D260$ Fan motors

$1E+2S+4D360$ Cooling coils

$8E+12S+14D2,600$ Manufacturing time

$E_r,S,D0$

The computer solution $is$ shown below.

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

$E$

$to$

$sto$

$D$

$to$

$E$

$s$

$|$

units

$S$

$D$

units

profit

$

$(c)$ Identify the range $of$ feasibility for the right$-$hand$-$side values. $(If$ there $isno$ 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 $by50,$ will the dual value for that constraint change? Explain.

Yes, the dual value will change because $50is$ greater than the allowable increase $of30.$

Yes, the dual value will change because $50is$ greater than the allowable increase $of12.$

$No,$ the dual value will not change because $50is$ less than the allowable increase $of290.$

$No,$ the dual value will not change because there $isno$ upper $limitto$ how much the constraint can increase.