(45 points) A firm operates a docking facility for container ships in Singapore. At present, the facility consists of 2 identical docks and ships arrive during the night to be unloaded. The number of ships that arrive during a single night varies from night to night, as given in the Custom distribution below. Each dock can unload one ship during the following day; if more ships arrive than there are docks available, the ships must wait offshore until the next day (or more) when a dock is free for unloading. The cost of delaying a ship (called a demurrage charge) is $10,000 per daylper ship