Three employees in the maintenance department are responsible for repairing the video games at Pinball Wizard, a video arcade. A maintenance worker can fix one video game machine every B hours on average, with an exponential distribution. An average of one video game machine fails every 3 hours, according to a Poisson distribution. Each down machine costs the Wizard $10 per hour in lost income. A new maintenance worker would cost $8 per hour.
Should the manager hire any new personnel? If so, how many people? What would you recommend to the manager, based on your analysis?