Question

Problem 15-33 (Algorithmic) Kolkmeyer Manufacturing Company is considering adding two machines to its manufacturing operation. This addition will bring the number of machines to ten. The president of Kolkmeyer asked for a study of the need to add a second employee to the repair operation. The arrival rate is 0.07 machines per hour for each machine, and the service rate for each individual assigned to the repair operation is 0.6 machines per hour. a. Compute the operating characteristics if the company retains the single-employee repair operation. If required, round your answers to four decimal places. PO = La = L II Wa = hours W = hours b. Compute the operating characteristics if a second employee is added to the machine repair operation. If required, round your answers to four decimal places. Po = La = L W = hours W = hours c. Each employee is paid $15 per hour. Machine downtime is valued at $80 per hour. From an economic point of view, should one or two employees handle the machine repair operation? Explain. If required, round your answers to two decimal places. Cost of one employee system: $ Cost of two employees system: $ From an economic point of view, should handle the machine repair operation.

Answer 1

P: 0.8833 Answert criven per hour Adriva rate (H) 0.07 service time cell = o.6 per hour - utilization factor CP) = 1 0.07/0.6 p :0.1167 employeet a) single PoFlop =1-0.1167 0.11672 p2 L2= 1-011167 I-P [Lq=0.0154 0.1167 0:1321 La 0.8833 1-P La 5 wa -10.22 hour x o'oist Wq= 1 007 -XL No.1321 00 1.89 W 1.8877

to the b) second employee added machine N2 IP Poz (-P1+ 1 1- 01163 Poa 1-0111673 08833 0.8847 0.9984 (N+1) 8N+ la poti I-P 3x (0.118973 0.1187 L- 1-(0:18923 0.8833 -0.00502 = 0.1344 L= 10:12938 L-P La = : 0:12938- 0:1187 L.= 0101068

L.L d VO:12938 0.07 1.84 hours w = 1.848 - waah. x 0.01068 0.02 wh -0.1525 Wh=o. 15 hours c) one employees cost 1.5 1.89 CIS) + 80X(15) $ 1228.35 two employees cost af ^2-(1.84 + 80115 n2=81297-6) Point of an economic room M2A2 two employees handle te views repaio oredation machine