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ASSIGNMENT
Note:Answerall questions.Kindlynote thatanswersfor10marks questionsshouldbe approximately
of 400 words. Each question is followed by evaluation scheme.
Question1. Explain the process of OR.
Answer: Quantitative basis for decision making is provided to managers by O.R. It enhances a
manager’sabilitytomake longrangeplansandtosolvetheroutine problemsofrunninganenterprise/
concern.O.R.is a systematicandlogical approach to provide a rational footing for taking decisions.
Operation research, like a scientific research is based on scientific methodology which involves
following steps.
Question2. a. Discuss any four applications of linear programming.
Answer 2. a. Four applications of linear programming are as follows:
1. Marketing applications:
 Main application of linear programming in marketing is “media selection”.
 Linear programming can be used to help marketing managers allocate a fixed
budget to various advertising media.
 The main objective is to maximize frequency and quality of exposure.
DRIVE Spring 2017
PROGRAM MBA
SEMESTER II
SUBJECT CODE & NAME MBA205 OPERATIONS RESEARCH
BK ID B2068
CERDIT 4
MARKS 60

2.  Restrictions on the allowable
b. An organisationproduces X1 and X2 units of products R and S, respectively.
In this case, the objective function and constraints are expressed as follows:
Maximise Z = 60X1 + 120X2
Subject to, 3X1 + 6X2 ≤ 240 Raw material constraint
2X1 + 4X2 ≤ 800 Labour hours constraint
X1, X2 ≥ 0 Non-negativity condition
Use graphical method to determine how many units of products R and S the
organisation should produce to maximise its profits.
Answer 2(b) - Here,
We have to maximise Z = 60X1 + 120X2
Subject to,
3X1 + 6X2 ≤ 240
2X1 + 4X2 ≤ 800
Question3.a. Explain the concept of Trans-shipment.
Answer3(a). Transhipment is the act of off-loading a container from one ship and loading it onto
anothership. In any service operatedbyanyline there are practical restrictionsintermsof coverage
of ports.. There is no shipping line that can cover all ports around the world on a single service and
therefore the services are segregated into trade lanes.
Let’ssaythere isa linerservice thatconnectsDurbantoFar East withSingapore,HongKong, andPort
Kelang being the ports of call on the voyage
Q3. b. Solve the following transportation problem using North-west corner
method & Matrix minimum method.

3. Answer 3. (b).
The transportation problem given is :
C1 C2 C3 C4 S
Question4.The processingtimeof four jobsand fivemachines(inhours, when
passing is not allowed) is given in following table
a. Find an optimal sequence for the above sequencing problem.
b. Calculate minimum elapsed time & idle time for machines A, B, C, D & E.
Answer4.

4. The Processing time for the new problem is given below:
The optimal sequence is
2 1 4 3
Total elapsed time = 61
Question 5. Define following criteria’s used for decision making under
Uncertainty
a. Optimism (maximax or minimin) criterion
Answer 5(a).
Maximax (Optimist)
The maximax looksatthe bestthatcouldhappenundereachactionandthenchoosesthe actionwith
b. Pessimism (maximin or minimax) criterion
Answer5(b).
Maximin (Pessimist)
The maximin person looks at the worst that could happen under each action and then choose the
c. Equal probabilities (Laplace) criterion
Answer5(c).
Laplace criterion is also called as law of equal probabilities criterion or criterion of rationality, since
probabilityof statesof nature are not knownitisassumedthatall statesof nature will occurin equal
d. Coefficient of optimism (Hurwicz) criterion
Answer5(d).
A compromise between the maximax and maximin criteria. The decision maker is neither totally
optimistic (as the maximax criterion assumes) nor totally pessimistic (as the maximin criterion

5. e. Regret (salvage) criterion
Answer5(e).
The minimizationof regretthatis highestwhenone decisionhasbeenmade insteadof another.Ina
situationinwhichadecisionhas been made that causes the expected payoff of an event to be less
Question 6. Explain the following:
a. Economic Order Quantity(EOQ)
Answer6(a).
Economicorder quantity(EOQ) isan equationforinventorythatdeterminesthe ideal orderquantity
a company should purchase for its inventory given a set cost of production, demand rate and other
variables. This is done to minimize variable inventory costs, and the formula takes into account
storage, or holding, costs, ordering costs and
b. PERT and CPM
Answer6(b).
PERT standsfor ProgramEvaluationReviewTechnique,amethodologydevelopedbythe U.S.Navyin
the 1950s to manage the Polaris
c. Applications of queuing models
Answer6(c).
QueueingTheoryhasa wide range of applications,andthissectionisdesignedtogive an illustration
of some of these. Ithasbeendividedinto3mainsections,TrafficFlow,SchedulingandFacilityDesign
and Employee
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