A company is producing a part that requires processing on three different machines. The machining sequence requires
Question:
A company is producing a part that requires processing on three different machines. The machining sequence requires that the part move from machine 1to machine 2 and then to machine 3. The annual demand is estimated at 600,000 units of that part. The company works 250 days per year and 8 hours per day. The reliability of each machine is taken at 90%. The batch size is equal to the daily production volume. The relevant data is shown below:
Machine | |||
1 | 2 | 3 | |
Processing cycle time (seconds/part) | 8 | 12 | 10 |
Loading + unloading time (seconds/part) | 3 | 4 | 3 |
Average Setup time (in minutes)/batch | 20 | 20 | 30 |
Defects (%) | 5 | 6 | 4 |
Efficiency ( %) | 90 | 88 | 95 |
Average down time (in minutes)/day | 15 | 10 | 15 |
Please answer the following questions (Show your calculations)
- Determine the number of units that must be produced each day by each machine if all defective units are scrapped.
- Determine the number of machine 2 needed
- Determine the minimum number of operators needed for machine 3
- Determine the average utilization for machine 1
- Determine the average operator idle time for machine 3
Contemporary Business Mathematics with Canadian Applications
ISBN: 978-0134141084
11th edition
Authors: S. A. Hummelbrunner, Kelly Halliday, Ali R. Hassanlou, K. Suzanne Coombs