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# GATE 2022 ME: Industrial Engineering Quiz - 4

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Question 1

While solving a transportation problem, the occurrence of degeneracy means that

Question 2

In a transportation problem, the materials are transported from 4 plants to 6 warehouses. The basic feasible solution must contain exactly, which one of the following allocated cells ?

Question 3

An organization producing 4 different products of size A, B, C, D have 4 operators P, Q, R, & S who are capable of producing any of the four products, working effectively 7 hours a day. The time (in minutes) required for each operator for producing each of the product are given in the cells of the following matrix along with profit (Rs. Per unit)

Find out maximum profit that could be earned.

Question 4

A product needs to be transported form four factories F

_{1}, F_{2}, F_{3}, & F_{4}to three warehouses P_{1}, P_{2}, P_{3}. The corresponding demand & supply and cost for unit transportation for i^{th}factory to j^{th}warehouse is given is matrix below

The total number of constraints for above given transportation problem are

Question 5

Five jobs (J1, J2, J3, J4 and J5) need to be processed in a factory. Each job can be assigned to any of the five different machines (M1, M2, M3, M4 and M5). The time durations taken (in minutes) by the machines for each of the jobs, are given in the table. However, each job is assigned to a specific machine in such a way that the total processing time is minimum. The total processing time is __________ minutes.

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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Sep 29ESE & GATE ME

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