In class, we discussed the example of Eastern Electric $($EE$),$ a major manufacturer that buys $120,000$ motors per year $(365$ days per year$)$ from Westview Motors $($WM$)$ at $$120/$motor$.$ Each motor averages a weight of $10$ lbs$.$ per unit. WM has just announced to EE that they will be implementing a temporal consolidation initiative and that, as a result, they will now need two days to ship their orders after they receive the order information from EE$.$ In turn, EE has decided that they will now carry safety stocks equivalent to $25$ percent of the average demand per motor during replenishment lead time. EE is also considering a new transportation proposal put forth by PM Railroad. According to this proposal, the in$-$transit time is guaranteed to be five days, EE will need to ship at least $300$ cwt per load. PM Railroad will charge $$5/$cwt in transportation costs between WM and EE $($FOB destination $($WM owns the shipments in transit$),$ freight prepaid and charged back$).$ Based on these conditions:

What is the annual average cycle inventory amount carried by EE$?$