Quantitative Decisions For Business Analysis M.B.A Question Paper : vardhaman.org

College : Vardhaman College Of Engineering
Degree : M.B.A
Semester : II
Subject : Quantitative Decisions For Business Analysis
Document type : Question Paper
Website : vardhaman.org

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Vardhaman Quantitative Decisions Analysis Question Paper

MBA II Semester Regular Examinations
(Master of Business Administration)
Answer any FIVE Questions.
All Questions carries equal marks

Related : Vardhaman College Of Engineering Human Resource Management M.B.A Question Paper : www.pdfquestion.in/6464.html

June/July – 2014

All parts of the question must be answered in one place only

1. Explain the characteristics and scope of operations research. 12M
2. Solve the following LPP by graphical method:
Max Z = 5X1 +10X2
St : 3X1 +5X2 <60
4X1 + 4X2 < 72
2X1 + 4X2 < 100
X1, X2,> = 0

3. Solve the following transportation problem using Vogel’s approximation method:
D1 D2 D3 D4 Supply
O1 2 2 2 1 3
O2 10 8 5 4 7
O3 7 6 6 8 5
Demand 4 3 4 4 15

4. a) What is replacement? Describe some important replacement situations. 6M
b) Distinguish between individual replacement and group replacement policies. 6M

5. Solve the following game graphically:
6 0 6 3
7 3 8 2

6. A newspaper boy has the following probabilities of selling a magazine.
No: of copies sold 10 11 12 13 14
probability 0.10 0.15 0.20 0.25 0.3
Cost of a copy is 30paise and the sale price is 50 paise. He cannot return unsold copies. How many copies should he order? 12M

7. Patients arrive at a clinic according to a Poisson distribution. At the rate of 30 patients per hour. The waiting room does not accommodate more than 14 patients. Examination time per patient is exponential with mean rate 20 per hour.
i. Find the effective arrival rate at the clinic?
ii. What is the probability that an arriving patient will not wait? Will he find a vacant seat in the room?
iii. What is the expected waiting time until a patient is discharged from the clinic? 12M

8. a) What is simulation? What are the advantages and limitations of simulation? 6M
b) Distinguish between deterministic and stochastic simulation models. 6M

April 2012

QUANTITATIVE DECISIONS FOR BUSINESS ANALYSIS :
(Master of Business Administration)
Time: 3 hours
Max Marks: 60
Answer any FIVE Questions.
All Questions carry equal marks
All parts of the questions must be answered in one place only

1 Define problem of operations research. Explain its typical application areas. 12M
2 a) Formulate mathematical form (Structure) of Linear Programming Problem. 5M
b) Solve following Linear Programming Problem using graphical method.
Maximize Z = 2X+3Y
Subject to X+Y < 30
X – Y > 0
Y > 3
0 < X < 20
0 < Y < 12

3 A manufacturer has distribution centres located at Delhi, chennai and Hyderabad. These centres have available 40, 20 and 40 units of his product. His retail outlets require the following number of units: A – 25, B – 10, C – 20, D – 30, E – 15.
The shipping cost per unit in rupees between each centre and outlet is given in the table:
Distribution Centre
Retail Outlets
A B C D E
Delhi 55 30 40 50 50
Chennai 35 30 100 45 60
Hyderabad 40 60 95 35 30
Determine the optimal shipping cost.

4 A plant manager is considering replacement policy for a new policy. He estimate the following costs (all costs in rupees):
Year: 1 2 3 4 5 6
Replacement cost at the beginning of the year: 100 110 125 140 160 190
Resale value at the end of the year: 60 50 40 25 10 0
Operating costs: 25 30 40 50 65 80
Find an optimal replacement policy and corresponding minimum cost.

5 a) Write down the different assumptions of game theory. Briefly explain its importance towards business decisions. 6M
b) Solve the following games by using maximin (minimax) principle whose pay off matrix are given below. And answer the following: 6M
i. Select strategy for each player.
ii. The value of the game to each player

6 a) Write short notes on:
i. States of nature and payoff
ii. Laplace Criterion 6M

b) The ABC Company manufacture guaranteed tennis balls. At present, approximately 10 percent of the tennis balls are defective. A defective ball leaving the factory costs the company Rs.0.50 to honour its guarantee. Assume that all defective balls are returned. At a cost of Rs. 0.10 per ball, the company can conduct a test, which always correctly identifies both good and bad tennis balls. Draw a decision tree and determine the optimal course of action and its expected cost. 6M

7 Workers come to tool room to enquire about special tools (required by them). The average time between two arrivals is 60 seconds and the arrivals are assumed to be in poisson distribution. The average time of the tool room is 40 seconds. Determine.
a. Average length of the queue.
b. Average number of workers in system including the worker being attended.
c. Mean waiting time of arrival. Average waiting time of an arrival who waits. 12M

8 What is simulation? Describe steps involved in carrying out Monte Carlo Simulation. 12M