Production and Industrial Engineering
2018 · Paper 1
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Complete GATE PI 2018 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 40–42 of 65. Imported answers require review unless explicitly marked reviewed.
Question 30
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A machine is procured at a price of Rs. 4700 with a 2-year warranty. After two years, the annual maintenance cost (AM) in Rs. is given by the following formula:
, where i is the number of years elapsed since the machine was purchased. Neglect the scrap value of the machine, inflation, interest, etc. For minimizing the average cost, the machine should be replaced at the end of the yearYour answerChoose one option.
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In a service centre, cars arrive according to Poisson distribution with a mean of 2 cars per hour. The time for serving a car is exponential with a mean of 15 minutes. The expected waiting time (in minute) in the queue is
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Actual and forecasted demands of a product are as follows: | Period: 1, 2, 3, 4, 5 | Actual demand: 180, 170, 165, 170, 200 | Forecasted demand: 190, 190, 190, 190, 190 | The forecast error measured in terms of mean absolute deviation (MAD) and mean absolute percentage error (MAPE), respectively, are
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