$50\%$

Station $1$ Station $250\%$ Station $3$

Station $4\mathrm{.}7$

$\mathrm{.}8$

$1\mathrm{.}0$

$\mathrm{.}9$The system above consists of a sequence of $4$ stations. The cycle times in minutes for processing one unit of work are shown for each station. After the second station, $50\%$ of the units are discarded due to quality problems. Work enters the system at a rate of I unit per minute.

a$.$ Which station is the bottleneck?

b$.$ Why?

c$.$ What is the throughput capacity of the system?

If the yield loss fraction is reduced from $50\%,$ what is the impact on other stations