Answer the next two questions based $on$ the case given below:

Hansen Controls has been awarded a contract for a large number $of$ control panels. $To$ meet

this demand, $it$ will use its existing plants $in$ Houston and Tulsa, and consider new plants $in$

Santa $Fe,$ Detroit, and Portland. Finished control panels are $tobe$ shipped $to$ Seattle, Denver,

and Kansas City. Pertinent information $is$ given $in$ the table.

$We$ develop a transportation model $asanLP$ that includes provisions for the fixed costs

$(construction$ costs $in$ this case$)$ for the three new plants. The solution $of$ this model would

reveal which plants $to$ build and the optimal shipping schedule $to$ minimize construction plus

shipping costs.

Let $,x_{ij}=$ the number $of$ panels shipped from source $ito$ destination $j$

$y_i=1if$ plant $iis$ built, $=0i=3,4,5$