Find out machine downtime also operator cost

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Q. 2 operators handle adjustments for a group of 10machines. Adjustment time is exp1ntially distributed and has a mean of 14 minutes per machine. Machines operate for an average of 86 minutes between adjustments. While running, each machine can turn out 50 pieces per hour. Find out:

a. probability that a machine will have to wait for an adjustment.

b. average number of machines waiting for adjustment.

c. average number of machines being serviced.

d. expected hourly output of each machine, taking adjustments into account.

e. Machine downtime represents a cost of $70 per hour; operator cost (including salary and fringe benefits) is $15 per hour. Illustrate what is optimum number of operators?

Reference no: EM1374625

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