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GATE ME 2019 National Champion Quiz: Industrial Engineering (App update required to attempt this test)

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Question 1

A project has the following network diagram.

The critical path and the maximum completion time of the project will be, respectively.

Question 2

The demand and forecast in a Manufacturing plant for November are 17000 and 15500 orders respectively. By using simple exponential smoothing method, forecast for the month of December will be? Use smoothing coefficient= 0.26

Question 3

In a machine shop, pins of 15 mm diameter are produced at a rate of 800 per month and the same is consumed at a rate of 400 per month. The production and consumption continue simultaneously till the maximum inventory is reached. Then inventory is allowed to reduce to zero due to consumption. The lot size of production is 800. If backlog is not allowed, the maximum inventory level is:

Question 4

In a transportation problem, there are 4 supply centers and 5 demand centers. The total quantity of supply available is greater than the total demand. The number of allocations, without degeneracy during an iteration is _____.

Question 5

For a particular project, eight activities are to be carried out. Their relationships with other activities and expected durations are mentioned in the table below

The critical path for the project is

Question 6

Find the minimum assignment cost for doing jobs J in machines M, where cost of doing ith job in jth machine is as follows:

Question 7

A food processing company uses 25,000 kg of corn flour every year. The quantity-discount price of corn flour is provided in the table below:

The order processing charges are Rs. 500/order. The handling plus carry-over charge on an annual basis is 20% of the purchase price of the corn flour per kg. The optimal order quantity (in kg) is_________.

Question 8

Maximize Z = 3x1 + 4x2
Subject to x1 + x2 ≤ 1
 -3x1 + x2 ≥ 3
x1 ≥ 0, x2 ≥ 0

Question 9

The probability distribution of weekly sale of a certain item is as follow:
12A.jpg
The cost of carrying inventory is Rs. 30 per unit per week and the cost of unit shortage is Rs. 70 per week. The optimum stock level which minimized the total expected cost is _________ units.

Question 10

For inventory control model III, the ordering quantity was 500 units when the relation between Inventory cost (I) and Penalty cost (P) was given by:
P = I/2
With optimization, later this relation was reduced to:
P = I/4
What will be the optimised ordering quantity after the change?

Question 11

The actual sales of a product in four consecutive year are given below
32.jpg

weightage for years are:

Year Weightage
2010 0.1
2011 0.2
2012 0.3
2013 0.4

The forecast of sales in 2014, using 4 years weighted moving average method would be _____ units.

Question 12

A manufacturing shop processes sheet metal jobs, wherein each job must pass through two machines (M1 and M2, in that order). The processing time (in hours) for these jobs is:

The optimal make-span (in hours) of the shop is:
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Jul 9ESE & GATE ME