Each airline passenger and his or her luggage must be checked to determine whether he or she is carrying weapons onto an airplane. Suppose that at Gotham City Airport, an average of 10 passengers per minute arrive (interarrival times are exponential). To check passengers for weapons, the airport must have a checkpoint consisting of a metal detector and baggage X-ray machine. Whenever a checkpoint is in operation, two employees are required. A checkpoint can check an average of 12 passengers per minute (the time to check a passenger is exponential). Under the assumption that the airport has only one checkpoint ..Referring to problem , suppose the airline wants to determine how many checkpoints to operate in order to minimize operating costs and delay costs over a ten-year period. Assume that the cost of delaying a passenger for 1 hour is $10 and that the airport is open every day for 16 hours a day. It costs $1 million to purchase, staff, and maintain a metal detector and baggage X-ray machine for a ten-year period. Finally, assume that each passenger is equally likely to enter a given checkpoint."