Failsafe Textiles employs 3 highly skilled maintenance workers who are responsib

Question

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?

Explanation / Answer

Answer:

Number of skilled staff = 3

Number of robots fixed in 8 hours = 1

it means one robot can be fixed in = 8 hours.

Rate of arrival of robots = 1/3 per hour

therefore the rate of utilization of the workers = (1/3) / 3*8

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