OJ Inc. produces and markets fruit juice. During the harvesting season, trucks bring oranges from the fields to the processing plant each day during 7 A.M. to 6 P.M. On peak days, approximately 10,000 kg of oranges are trucked in every hour (assume that this occurs at a constant rate, so the size of individual trucks doesn't matter). Trucks must dump their contents in a holding bin with a storage capacity of 6,000 kg. When the bin is full, incoming trucks must wait until the bin has available space. The plant is configured such that the processing rate is 8,000 kg per hour. Assume that the plant must keep processing until all oranges that arrive on any day are processed. Construct an inventory buildup diagram for OJ Inc. to answer the following questions.
(a) How many hours after 7 a.m. do the trucks first start waiting?
(b) What is the maximum quantity of oranges that is waiting on trucks (to be dumped into the bins), and when does this occur?
(c) How many hours after 7 a.m. do the trucks stop waiting?
(d) How many hours after 7 a.m. does the factory stop processing for the day?