$(20\%)$ You have designed a production line that has five $(5)$ stations; each station has an average processing time of $3$ minutes.

a$)(10\%)$ What is the expected production rate per hour if the processing time has no variability and no buffers? What would be the associated expected maximum throughput time? What would be the maximum WIP in this system?

$in$ this system? grad:$0,z=0$

$M=5$

$PR,\frac{20}{h}.$

MAR T$7$: $35=15$mis

$$ix wip: $5$

b$)(10\%)$ If each station has a standard deviation of $2.$ What is the minimum size of buffer should they use to ensure a production rate of at least $17$ parts per hour? What is the maximum WIP in this system?

f$..$

$2\mathrm{.}3=>PR=17\mathrm{.}02$

MAx wip $=(3+1)5=20fl$