Production and Industrial Engineering
2022 · Paper 1
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Complete GATE PI 2022 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 58–60 of 65. Imported answers require review unless explicitly marked reviewed.
Question 58
Open questionPINAT2 marksNeeds review
In a factory, 100 bulbs are in use. The table lists the cumulative probability of the failure of a bulb for various durations.
Duration (month) | Cumulative probability
1 | 0.10
2 | 0.25
3 | 0.47
4 | 0.68
5 | 1.00
The factory follows the individual replacement policy. If the cost of replacing a bulb is ₹ 300, then the expected cost (in ₹) of replacement per month is____________. [round off to nearest integer]
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Open questionPINAT2 marksNeeds review
A company procures 384 parts annually. The annual holding cost per part is ₹ 30. If the ordering cost is ₹ 1000, then the economic order quantity is____________. [in integer]
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Open questionPINAT2 marksNeeds review
A time study engineer recorded the cycle time (in minute) for machining of a component. The recorded time study data is provided in the table. The performance rating of the worker is 110%. The standard time for machining (in minute) the component by assuming 10% allowance is____________. [round off to nearest integer]
Time study data
Cycle time (minute) | Frequency
42 | 1
43 | 2
44 | 3
45 | 2
46 | 1
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