Use the information below to solve the next two problems. 750 tons of manure needs to be moved from a farmers' elds to the pile that is 10 min away. There are currently 2 front-end loaders at the field for use and each can load one ton of manure at a time. There are 3 semi-trucks with a capacity of 12.5 tons and the manager has instructed that only one front-end loader may be used to service a specific truck. However, more than one front-end loader may work on the same one-truckload pile. o No partial modules can be hauled pl (service rate directly from the field) 80 tons per hour [12 (service rate from a stack) 160 tons per hour A (arrival rate of trucks to the pile) 3 trucks per hour The state diagram for the system is shown below. its 5. Answer the following questions, based on the state diagram: (15 points) a) b) c) d) 6) At state 13, describe the actions of each frontend loader and truck At state 02, how many trucks are in the queue? Which states have trucks being loaded from piles? At each state, list how many trucks are idle. At each state, list how many frontend loaders are idle. 6. Answer the following questions, based on the state diagram: (20 points) a) b) C) d) 6) f) 8) h) i) What is the rate of removal (tons per hour) of manure from the site? How many 10hour days will it take to remove 750 tons of manure from the site? Based on the percent of time that 1 or more trucks are idle, for how many hours are trucks idle during the week? Based on the percent of time that 1 or more front-end loaders are idle, for how many hours are frontend loaders idle during the week? What is the average percent of time that trucks are idle? What is the average percent of time that frontend loaders are idle? How many 10-hour days does it take if only loaded from the field? How many 10-hour days does it take if only loaded from the pile? What would your recommendation be to the manager of the operation to move the fnnc n'F mannrn mncf n'F'FirinnflIr')