A toy factory is planning to make an additional item, which would be processed in 4 departments. The company is proposing to produce 600,000 units per year, working 250 days per year. The estimates of times made by an industrial engineer are in the table: Departments Times 1 2 3 4 Average processing time (second/part) 8 13 10 50 Average maintenance, time/day (minutes) 20 30 20 15 Average daily setup, time (minutes) 20 15 30 20 Average bookkeeping, time/day (minutes) 10 8 12 5 Machine adjustment, time/day (minutes) 15 10 15 15 Defective items, (% of production) 5 6 4 4 The parts are produced within the departments in a sequential manner (from department 1 to 2 to 3 to 4). Adding a second shift would reduce the efficiency of the first shift by 10%, and the efficiency of the second shift would be 5% less than that of the first shift. How many machines of each type would be required?
A toy factory is planning to make an additional item, which would be processed in 4 departments. The company is proposing to produce 600,000 units per year, working 250 days per year. The estimates of times made by an industrial engineer are in the table: Departments Times 1 2 3 4 Average processing time (second/part) 8 13 10 50 Average maintenance, time/day (minutes) 20 30 20 15 Average daily setup, time (minutes) 20 15 30 20 Average bookkeeping, time/day (minutes) 10 8 12 5 Machine adjustment, time/day (minutes) 15 10 15 15 Defective items, (% of production) 5 6 4 4 The parts are produced within the departments in a sequential manner (from department 1 to 2 to 3 to 4). Adding a second shift would reduce the efficiency of the first shift by 10%, and the efficiency of the second shift would be 5% less than that of the first shift. How many machines of each type would be required?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Question
A toy factory is planning to make an additional item, which would be processed in 4 departments. The company is proposing to produce 600,000 units per year, working 250 days per year. The estimates of times made by an industrial engineer are in the table:
Departments | ||||
Times | 1 | 2 | 3 | 4 |
Average processing time (second/part) | 8 | 13 | 10 | 50 |
Average maintenance, time/day (minutes) | 20 | 30 | 20 | 15 |
Average daily setup, time (minutes) | 20 | 15 | 30 | 20 |
Average bookkeeping, time/day (minutes) | 10 | 8 | 12 | 5 |
Machine adjustment, time/day (minutes) | 15 | 10 | 15 | 15 |
Defective items, (% of production) | 5 | 6 | 4 | 4 |
The parts are produced within the departments in a sequential manner (from department 1 to 2 to 3 to 4).
Adding a second shift would reduce the efficiency of the first shift by 10%, and the efficiency of the second shift would be 5% less than that of the first shift. How many machines of each type would be required?
Expert Solution
Step 1
Given,
Departments | ||||
Times | 1 | 2 | 3 | 4 |
Average processing time (second/part) | 8 | 13 | 10 | 50 |
Average maintenance, time/day (minutes) | 20 | 30 | 20 | 15 |
Average daily setup, time (minutes) | 20 | 15 | 30 | 20 |
Average bookkeeping, time/day (minutes) | 10 | 8 | 12 | 5 |
Machine adjustment, time/day (minutes) | 15 | 10 | 15 | 15 |
Defective items, (% of production) | 5 | 6 | 4 | 4 |
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