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GATE ME 2022: Industrial Engineering

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Question 1

The demand and forecast value for the period 1 is given as 100 and 120 units. Considering the forecasting model having coefficient α = 0.2. Find the forecasting value for the period 2, _________ using exponential method.

Question 2

Consider the following data for a product
Demand= 1000 units/ year
Order = Rs. 40/ order
Holding cost = 10% of the unit cost/ unit year
Unit cost = Rs. 500
With a policy of ordering every month, the total annual cost would be _____.

Question 3

Maximize Z = 5x1 + 6x2

Subject to

x1 + x2< 10

x1 – x2> 3

5x1 + 4x2< 35

x1 , x2> 0

Question 4

A project consists of 7 jobs. Jobs A and F can be started and completed independently. Jobs B and C can start only after job A has been completed. Jobs D, E and G can start only after jobs B, (C and D) and (E and F) are completed, respectively. Time estimates of all the jobs are given in the following table:

The expected completion time of the project is.

Question 5

A TV repair man finds that time spend on his job has exponential distribution with mean of 30 minutes and if arrival rate follows poisson distribution with average rate of 10 per 8 hour day. The repair man expected idle time each day is

Question 6

A machine tool company decides to make four sub-assemblies through three contractors differing in efficiency. Given below are the estimates of the time in hours matrix. The minimum time in minutes is?

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Jun 28ESE & GATE ME