$1.$ Consider a process consisting of four stations $($Station $1$ comes first, followed by Station $2$ and then Station $3$ and lastly Station $4)$:

Station

Processing Time $[$Min$./$Unit$]$

Number of Machines

$1$

$6$

$2$

$2$

$4$

$2$

$3$

$10$

$3$

$4$

$2$

$1$

$$

Assuming $100\%$ machine availability and $100\%$ yield, answer the following questions:

$($a$)$ Which station$($s$)$ is the bottleneck of the system? What is the process capacity $($measured in # units$/$hour$)?$