Unit Test 1 Question Bank
Subject : Operation Research
Q.1 Give a brief account of the history and development of quantitative approach.
Q.2 What is “Model”? What are its various types?
Q.3 Describe seven step modeling process with block diagram.
Q.4 "Operations Research is a bunch of mathematical techniques to break industrial problems”.
Critically comment.
Q.5 Discuss the scope and objective of Operations Research.
Q.6 A company deals with three products A, B and C. They are to be processed in three
departments X, Y and Z. Products A require 2 hours of department X, 3 hours of department Y
and product B requires 3 hours,2 hours and 4 hours of department X, Y and Z respectively.
Product C requires 2 hours in department Y and 5 hours in department Z respectively. The
profit contribution of A, B and C are Rs. 3/–, Rs.5/– and Rs. 4/– respectively. Find the optimal
product mix for maximising the profit. In the coming planning period, 8 hours of department X,
15 hours of department Y and 10 hours of department Z are available for production.
Q.7 A firm manufactures teak wood tables and sell each table for Rs.1000 and it cost Rs.500 to
make the table.The company has 500 kgs of wood and each table requires 25 kgs of wood. The
firm wants to know how many tables to make . Develop a model for this problem situation and
determine no. of tables to be produced.
Q.8 A company manufactures two products X and Y whose profit contributions are Rs. 10 and
Rs. 20 respectively. Product X requires 5 hours on machine I, 3 hours on machine II and 2 hours
on machine III. The requirement of product Y is 3 hours on machine I, 6 hours on machine II and
5 hours on machine III. The available capacities for the planning period for machine I, II and III
are 30, 36 and 20 hours respectively. Find the optimal product mix.
Q.9 the arrivals at an ATM booth are assumed to be exponentially distributed. The arrival rate is
4 per hour and the service rate is 12 per hour. Determine a) average no. of customers in the
system, b) average no. of customers waiting to be served or average queue length, c) average
time a customer spend in the system and d) average waiting time of a customer before being
served.
Q.10 Write a note on sensitivity analysis.