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Ossian paid the bribe so his mother could get better treatment at the hospital. Un- fortunately, he had to borrow money to pay for the bribe and was forced to join a rebel militia to pay off his debts. Newly recruited rebels must go through rudimentary military training. To keep the training location secret, recruits arrive one at a time to a training camp, at an average of 4 recruits per week. Once a total of 6 recruits have arrived they form a "cell" and are then trained by a single drill sergeant and several support staff. All recruits with a cell must have arrived before setup for training begins. The sergeant takes a day of setup time to prepare the camp for training between cells, and each recruit needs one day of personalized attention from the drill sergeant before their training is complete. Assume the sergeant spends his entire time either setting up camp or training recruits one-on-one.
(a) What is the effective capacity of the training camp (in recruits per week)? Assume the camp operates 7 days per week.
b) What is the effective utilization of the camp?
(c) Suppose the rebel militia is considering changing the size of a training "cell" to be something other than 6 recruits. What is the minimum feasible batch size that will allow all arriving recruits to be processed eventually?
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