Problem $3(20$ points$)(Doit$ Handwritten$)$

Consider a line with two single$-$machine workstations. Arrival rate $to$ the line $is1\mathrm{.}5$job$\frac{s}{h}r$ and

$c_a=1\mathrm{.}6.$ The first machine has $t_0=35$mins,$c_0=0\mathrm{.}8,MTTF=70hrs,MTTR=3\mathrm{.}5hrs.c_r=1.$

The second machine has $t_0=30$mins,$c_0=1\mathrm{.}2,MTTF=5hrs,MTTR=20$mins $hrs.c_r=1.$ Find

$C{T}_q$ and $WI{P}_q$ for both machines. $Ifwe$ need $to$ reduce the $WI{P}_q$ for the second machine $tobe2,$

how does $it$ impact the throughput?