Need help on a Problem 1811 One operator services s bank of

Need help on a.

Problem 18-11 One operator services s bank of five machines. Machine running time and service time are both exponentisl. Machines run for an average of 81 minutes between service requirements, and service time averages 27 minutes. The operstor receives $28 per hour in salary and fringe benefts, and machinge downtime costs $85 per hour per machine Use Table 1 Table 2 and Table 3 a. If each machine produces 58 pieces per hour while running, find the average hourty output of esch machine, when weiting and service times are taken into account (Round your answer to 2 decimal places.) Average hourly output pieces b. Determine the optimum number of operators O 4 operstor 2 operatons O 3 operators

Solution

a) Number of units produced in 60 Mins = 58

so, Number of units produced in 81 Minutes of machine running = (58/60)*81 = 78.3

Factoring in Service time & waiting time, net working time of machine = running time+service time+waiting time = 81+27+0 {Waiting time is not given in question, so assumed 0} = 108 minutes.

Thus, after factoring in waiting time & service time, we have:

In 108 Minutes, Units produced = 58

Therefore, In 60 Minutes, Units produced = (58/108)*60= 32.22 ~ 32 Units

Thus, average hourly output = 32.22 pieces