Consider a firm that operates a cannery. All fish brought in by a fleet of fishing boats are processed at the cannery. The firm also has a freezer of unlimited size that stores unprocessed fish. Assume that the freezer is empty in the beginning of the year. There are three seasons. The fleet yields $12000$ tons$/$month during the first third of the year, $16000$ tons$/$month during the middle third, and only $2000$ tons$/$month during the final third. The cannery's processing capacity equals $10000$ tons$/$month$.$