GATE PI Production control PYQs & Answers — Page 2

Questions 11–20 of 32. Imported answers require independent review unless marked reviewed.

The standard time for completing a job on a machine is 10 minutes. Number of machines available is 5, each machine is available for 300 hours/month, and average machine utilization is 80 %. The maximum number of jobs that can be produced in a month is _____ (in integer).

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Six jobs (1, 2, 3, 4, 5, 6) undergo drilling, followed by reaming operation. The time required for each operation is given as

Job | Drilling (min) | Reaming (min) 1 | 30 | 45 2 | 30 | 15 3 | 60 | 40 4 | 20 | 25 5 | 35 | 28 6 | 45 | 70

The sequence of processing the jobs, using the Johnson’s rule, is

Your answerChoose one option.

4 – 1 – 6 – 3 – 5 – 2

4 – 6 – 1 – 5 – 3 – 2

2 – 1 – 6 – 3 – 5 – 4

2 – 1 – 3 – 6 – 5 – 4

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The information of two products P and Q is given as

Product	Annual demand (units)	Order cost per order (Rupees)	Holding cost per unit per year (Rupees)
P	2500	60	30
Q	3600	80	40

The value of

is _____ (round off to 2 decimal places).

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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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A machine component is to be processed at 5 workstations sequentially. The table provides the cycle time (in second) of each workstation. In mass production, the number of components produced per hour (in steady state) is____________. [in integer]

Workstation | Cycle time of each workstation (second) WS-1 | 85 WS-2 | 55 WS-3 | 90 WS-4 | 65 WS-5 | 70

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A company forecasts the weekly demand of oxygen cylinders using exponential smoothing method with smoothing constant

. The actual demands in Week 1, Week 2, Week 3 and Week 4 were 375, 412, 592 and 439 units, respectively. The forecasted demand for Week 3 was 500 units. The forecast (in unit) for the Week 5 is____________. [in integer]

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Which one of the following is NOT a measure of forecast error?

Your answerChoose one option.

Mean absolute deviation (MAD)

Mean squared error (MSE)

Mean absolute percent error (MAPE)

Mean sum product error (MSPE)

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In the classical economic order quantity (EOQ) model, let

and

denote the optimal order quantity and the corresponding minimum total annual cost (the sum of the inventory holding and ordering costs). If the order quantity is estimated incorrectly as

, then the corresponding total annual cost

Your answerChoose one option.

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A machine shop has received four jobs A, B, C and D for processing on a single CNC machine. All jobs are available for processing on the first day of the production schedule calendar, and processing times and due dates as applicable on the first day are given below. Using earliest due date rule, the average tardiness (in days) is ________. [in integer]

Job	Processing time (in days)	Due date (day)
A	8	14
B	5	10
C	7	12
D	9	19

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Which of the following is a causal forecasting method?

Your answerChoose one option.

Naive approach

Moving average

Exponential smoothing

Linear regression

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GATE PI Production control PYQs

Question 29

Question 40

Question 51

Question 59

Question 61

Question 65

Question 5

Question 30

Question 39

Question 19