Failsafe Textiles employs 3 highly skilled maintenance workers who are responsible for repairing the numerous industrial robots used in its manufacturing process. A worker can fix 1 robot every 8 hours on average, with an exponential distribution. An average of 1 robot fails every 3 hours, according to a Poisson distribution. Each down robot costs the company $100 per hour in lost production. A new maintenance worker costs the company $80 per hour in salary, benefits and equipment.
Should the manager hire any new personnel? if so, how many people? What would you recommend to the manager, based on your analysis?