a) Which station is the bottleneck? (b) What is the process capacity in units per day (round to the nearest integer)?  (c) What is the cycle time of station 3 in minutes (give to 3 decimals)?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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A manufacturing company produces a single product at four workstations in series (assume no variability). The company operates 2 shifts of 8 hrs per day, 5 days per week. Each shift contains one lunch break of 60 min. The processing time per unit as well as the number of machines per station is indicated in the table below. After every 800 units produced, the tools used in the machines at station 1 need to be replaced. It takes on average 25 minutes to replace the tools (all machines' tools are replaced simultaneously). All the machines can process one unit at a time only, except for station 1 where each machine can process 4 units simultaneously.

Station Processing Time [Min./Unit] Number of Machines
1 20 1
2 20 2
3 18 1
4 20 3

(a) Which station is the bottleneck?

(b) What is the process capacity in units per day (round to the nearest integer)? 

(c) What is the cycle time of station 3 in minutes (give to 3 decimals)?

 

 

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