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1. Dear students get fully solved assignments
Send your semester & Specialization name to our mail id :
help.mbaassignments@gmail.com
or
call us at : 08263069601
DRIVE FALL 2017
PROGRAM MASTER OF BUSINESS ADMINISTRATION (MBA)
SEMESTER II
SUBJECT CODE & NAME MBA205 & OPERATIONS RESEARCH
CREDITS 2, 4 CREDITS
MARKS 30
Note: Answer all questions. Kindly note that answers for 10 marks questions should be
approximately of 400 words. Each question is followed by evaluation scheme.
Assignment Set -1
Question 1 Define the Linear programming problem in operation Research. Also, explain various
assumptions, advantages and limitations of linear programming problem.
A Linear programming problem in operation Research
Assumptions of linear programming problem
Advantages of linear programming problem
Limitations of linear programming problem
Answer: In organisations,managers are required to make judicioususe of scarce resources, such as
men,materials,machinesandcapital,tominimisecosts andmaximise profits.A techniquethatisused
to select the best alternative from a set
Question 2 a. Discuss the concept of Degeneracy in transportation problem
b. The ABC Tool Company has a sales force of 25 men who work out from Regional offices. The
company produces four basic products linesof hand tools. Mr. Jain, the salesmanager, feelsthat 6
salesmenare neededtodistribute productline 1, 10 salesmenare neededtodistribute productline
2, 4 salesmen to product line 3 and 5 salesmen to product line 4. The cost per day of assigning
salesmen from each of the offices for selling each of the product lines are as follows;
Regional office Product Lines
𝑷𝟏 𝑷𝟐 𝑷𝟑 𝑷𝟒
R1 20 21 16 18
R2 17 28 14 16
R3 29 23 19 20
Now, 10 salesmen are allowed to office R1, 9 salesmen to office , and 7 salesmen to office .
How many salesmen should be assigned from each office to selling each product line in order to
minimize costs?
Degeneracy in transportation problem
Optimum allocation.
2. Optimum transportation cost
Answer: a) Degeneracy in transportation problem
A basic solution to an m-origin, n destination transportation problem can have at the most m+n-1
positive basicvariables(non-zero),otherwisethe basicsolutiondegenerates.Itfollowsthatwhenever
the numberof basic cellsislessthan m + n – 1, the transportationproblemisa degenerate one.The
degeneracy can develop in two ways:
Case 1 - The degeneracy develops while
Question 3 a. Elaborate the meaning of Simulation.
b. What are different Practical applications of simulation
A Meaning of Simulation.
Practical applications of simulation
Answer: a) Simulationisa representationof real-life situations.Itis a methodinwhicha replicaof a
real-worldprocessorsystemisdevelopedovera periodof time.The simulatedmodelactsinthe same
mannerasthe selectedphysical or abstractprocessorsystembehavesinreality.Forexample,aircraft
pilotsare giventrainingthroughsimulationmodelsastrainingwithreal aircrafts canincur huge costs
as well as involve various risks. Similarly, in education sector, teachers are trained on the simulated
modelsof students(agroupof individualswhoimitateasstudents).Thisavoidstheriskof spoilingthe
future of students if the teacher is not able to
Assignment Set -2
Question 1 a. Define the meaning of assignment problem in operation Research.
b. A Departmental head has four subordinates and four task to be performed. The subordinates
differinefficiencyandthe tasksdifferintheir intrinsicdifficulty.Hisestimate ofthe timeseachman
would take to perform each task is given in the following matrix-
Tasks Subordinates
I II III IV
A 8 26 17 11
B 13 28 4 26
C 38 19 18 15
D 19 26 24 10
How should the tasks be allocated to subordinates to minimize the total man-hours?
A Description of assignment problem
Optimum allocation through Hungarian method
Answer: a) An assignment problem is a special type of transportation problem. In an assignment
problem,the same numberof facilities(sourcesof supply) needstobe allocatedtothe same number
of jobs(pointsof destinations) so thatthe transportationcostisminimisedorthe profitismaximised.
An assignment problem can occur while assigning:
Machines to factory orders
Salespeople to sales territories
Teachers to classes
Police vehicles to patrolling areas
3.
Question 2. Define following criteria’s used for decision making under Uncertainty
a. Optimism (maximax or minimin) criterion
b. Pessimism (maximin or minimax) criterion
c. Equal probabilities (Laplace) criterion
d. Coefficient of optimism (Hurwicz) criterion
e. Regret (salvage) criterion
Answer: a) Optimism (maximaxor minimin) criterion: Here,the decisionmakertriesto achieve the
largest possible profit (Maximax) or minimum possible cost (minimin).If the entries in the payoff
matrix are the one which the decisionmakerwantsas large as possible,forexample,profitsorsales
revenue,he/sheselectsthe alternative thatrepresentsthe maximumof the maximumpayoff.Incase
where the entriesof the payoff matrix are one which the decisionmakerwants as small as possible,
he/she goes for the minimum of the
Question3a. Explainthe importance andutilityofthe replacementmodel inbusinessorganizations.
b. The maintenance cost and re-sale value per year of a machine whose purchase price is Rs. 7000
is given below-
Year 1 2 3 4 5 6 7 8
Maintenance cost (Rs.) 900 1200 1600 2100 2800 3700 4700 5900
Resale value (Rs.) 4000 2000 1200 600 500 400 400 400
Importance and utility of the replacement model Replacement Year
Answer: a) In an organisation, replacement problems arise when fixed assets, such as machines,
equipment, and other tools, need to be replaced due to reduced efficiency, failure or breakdown.
Sometimes,replacementtakesplace when more efficientequipmentisavailable inthe marketorthe
maintenance of the existing equipment is incurring a huge cost on an organisation. However, an
organisation needs to decide when the
Dear students get fully solved assignments
Send your semester & Specialization name to our mail id :
help.mbaassignments@gmail.com
or
call us at : 08263069601