Part X requires machining on a milling machine (operations A and B are required). Find the number of machines required to produce 3000 parts per week. Assume the company will be operating five days per week, 18 hours per day. The following infor- mation is known:
Operation Standard Time Efficiency Reliability Scrap
A 3 min 95% 95% 2%
B 5 min 95% 90% 5%
Note: The milling machine requires tool changes and preventive maintenance after every lot of 500 parts. These changes require 30 minutes.

atleast 5 machines

Explanation:

Quantity required (Q) = 3000

Maintainace due = 500 parts

3000 / 500 = 5 = 6 Maintainace

Repair time = 6 × 30 minutes = 300 minutes = 5 hours.

operation time = 5 × 18 × 60 = 5400 minutes

Total operation time = Total operation hours - repair time

5400 - 300 = 5100 hours

For A:

(Standard time × Q) / (reliability × time efficiency × scrap × total working hours)

(3 × 3000) / (. 95×.95×5100)

9000/4602.75 = 1.96

For B:

(Standard time × Q) / (reliability × time efficiency × scrap × total working hours)

(5 × 3000) / (.95×.9×5100)

15000/4360.5 = 3.44

(1.96 + 3.44) = 166.56

=5. 4

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