Bottleneck Exercise $1$ 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, $$50\backslash \%$$ 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? The bottleneck time is the time of the slowest workstation or the highest utilized station $($the one that takes the longest$)$ in a production system. For this reason Station $3$ is the bottle neck of the system. b$.$ Why? The bottleneck time is the time of the slowest workstation or the highest utilized station $($the one that takes the longest$)$ in a production system. c$.$ What is the throughput capacity of the system? The throughput is the number units processed per unit of time, in this case it is equal to $$3\mathrm{.}4\backslash$mathrm$\{$~min$\}/$$ unit d$.$ If the yield loss fraction is reduced from $$50\backslash \%$$$,$ what is the impact on other stations? If the yield loss fraction is reduced from $$50\backslash \%$$$,$ the other station would require double of the time.