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GATE 2019:Industrial Engineering Rapid Quiz-3

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Question 1

Consider an objective function Maximize and the constraints

The maximum value of the objective function is ______.

Question 2

A linear programming problem is shown below:
Maximize Z
Subject to

It has

Question 3

If the ordered quantity is 25% more than that corresponding to EOQ, then % change in total inventory cost is ______.

Question 4

In a forecasting model, at the end of period 13, the forecasted value for period 14 is 75. Actual value in the periods 14 to 16 are constant at 100. If the assumed simple exponential smoothing parameter is 0.5, then BIAS at the end of period 16 is

Question 5

In a EOQ problem, if the set-up (ordering) cost is (C0 + bQ) instead of being fixed (where ‘b’ is the set up cost per unit item produced), then optimum order quantity will be

Question 6

What is the optimum length of time between orders in EOQ model with a total time horizon of one year?

Question 7

The cost parameters and other factor for a production inventory system of automobile factory are
Demand / year = 6000 units
Unit cost = Rs. 40/-
Setup cost (order cost) = Rs. 500/ set up
Production rate/ year = 36000 units
Holding cost/unit/year = Rs. 8/-
Shortage cost/unit/year = Rs. 20/-
The optimal lot size would be _____ units.

Question 8

A company uses 2555 units for a item annually. Delivery lead time is 8 days. The recorder point (in number of units) to achive optimum inventory is ________.

Question 9

A furniture manufacturer produces chairs and tables. The woodworking department is capable of producing 200 chairs or 100 tables or any proportionate combinations of these per weeks. The weekly demand for chairs and tables is limited to 150 and 80 units respectively. The profit from a chair is Rs. 100 and that from a table is Rs. 300. The maximum profit is ________.

Question 10

A conventional lathe and a CNC lathe are under consideration for machining a given part. The relevant data are shown below.
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-EE-ME-19-Mar\GATE-ME-2000_files\image275.png
Find the break-even quantity, above which CNC lathe is economical.

Question 11

Solve the following linear programming problem by simplex method.
Maximize Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-EE-ME-19-Mar\GATE-ME-2000_files\image278.png
Subject to Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-EE-ME-19-Mar\GATE-ME-2000_files\image279.png
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-EE-ME-19-Mar\GATE-ME-2000_files\image280.png
Add the constraint x2< 2 to the simple table of part A. and find the solution.

Question 12

A company is offered the following price breaks for order quantity

Order cost is Rs.60 per order while the holding cost is 10% of the purchase price. Determine the economic order quantity (EOQ) if the annual requirement is 1000 units.
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