Question

One operator services a bank of five machines. Machine running time and service time are both exponential. Machines run for an average of 74 minutes between service requirements, and service time averages 26 minutes. The operator receives $25 per hour in salary and fringe benefits, and machine downtime costs $78 per hour per machine.

If each machine produces 65 pieces per hour while running, find the average hourly output of each machine, when waiting and service times are taken into account.(Round your answer to 2 decimal places.)
Average hourly output ______________________ pieces

Answer 1

Average hourly output is 13.14 pieces.

Step-by-step explanation:

Number of machines at the bank N = 5

Average service time T = 26 min

Machine runs for an Average R = 74 min

Number of servers M = 1

Service Factor, X = T / (T+R)

= 26 / (26+74)

= 0.26

Efficiency Factor, F = 0.683

Average Number of machine running A = N * F * (1 - X)

= 5 * 0.683 * (1 - 0.26)

= 2.52

Output rate = 26 * (A / N)

= 26 * ( 2.52 / 5)

= 13.14 per hour.