Consider Timbuk2's production cell for custom messenger bags. The cell has the capacity to produce exactly 285 bags per day, and there is no uncertainty in this. It is currently the start of the busy holiday season, and while there are currently no unfilled orders for custom messenger bags, during each of the next 54 days, Timbuk2 is expecting 416 custom messenger bags to be ordered per day. After this busy surge, the demand is expected to return to a steady level of 163 custom messenger bags per day.

a)How many unfilled orders will Timbuk2 have on hand at the end of day 54?

b)How long will the last customer who orders on day 54 have to wait for their bag to be produced?

c) When will Timbuk2 be completely caught up with the anticipated surge in demand?

d)On average, how long does a bag ordered during the 54 day surge wait to be produced?