Pets$-$R$-$awesOMe has developed a specific process to track and resolve orders reported damaged through shipping by customers. For some reason, there are large numbers of these. The following process is used to handle such issues. There is one employee per step.

Station A: retrieve email and enter information into tracking database software $(45$ orders$/$hour$)-->$ Station B call transportation, provider to investigate, make claim and update database $(35$ orders$/$hour$)-->$ Station C issue customer refund and update database $(60$ orders$/$hour$)$

To ensure that no claims $$fall through the cracks$$ the process adheres to $$lean principles.$$ Specifically, a claim for an order is handed from one station over to the next one only when the next station is ready to process the order $($i$.$e$.,$ the

stations are not allowed to have an inbox where orders accumulate$).$ Determine a$)$ throughput time

b$)$ What is the average inventory of orders in the system?

c$)$ What is the minimum time it would take to process a rush order $($i$.$e$.,$ a high$-$priority complaint$)?$

d$)$ If you were to enable an inbox $($only one$)$ where claims about orders can $$wait$,$ would you place this inbox right before: i$)$ Station B or ii$)$ Station C$?$ Why?