Amazing Business Services (ABS) receives a wide variety of...

Amazing Business Services (ABS) receives a wide variety of customer emails. Messages range from requests for technical support from existing customers to general inquires about products from potential customers. ABS's policy is to reply to all emails within 24 hours of receipt. ABS has two contact centers processing emails. The first is on the east coast (NY) and is open from 8:00AM to 4:00PM (all times are Eastern Standard Times). It can process 450 emails per hour. The second facility is on the west coast (LA) and opens at noon (EST) and can process 300 emails per hour. It also operates for an eight-hour shift. The two contact centers pull emails from the same server in a first come, first served fashion. Work unfinished by the east coast facility is completed by the west coast center. On an average day, emails arrive at a rate of 350 per hour from 8:00AM until 6:00PM. At all other times, emails arrive at a rate of 150 per hour.

i. (10 pts) On a grid like the one below (you may scan a hand drawn graph), draw an inventory buildup sketch showing the number of emails waiting to be answered on a typical day of operations (not the very first day!) Note that time zero on the grid below is midnight eastern time, so hour 13 is 1:00PM EST etc.