Define Operations Research and highlight any four significant features.
How will you define basic solution to a system of ‘m’ simultaneous linear equations in ‘n’ unknowns (m < n)?
State the transportation problem mathematically as a linear programming problem.
Define : (i) Game (ii) Fair game (iii) Strictly determinable game (iv) Saddle point.
Using dominance method solve the game:

Player B

Player A

Write a note on (i) CPM (ii)
Define : (i) Setup cost (ii) Holding cost (iii) Shortage cost (iv) Lead time.

PART – B (4´ 10=40 marks)

Answer any FOUR questions.

Find all the basic feasible solutions of the equations:.
Use graphical method to solve the following:

Maximize

Subject to the constraints :

Write the simplex algorithm used in finding an optimum solution to a linear programming problem.
Explain the ABC Inventory system.

Four professors are each capable of teaching any one of four different courses. Class preparation time in hours for different topics varies from professor to professor and is given in the table below. Each professor is assigned only one course. Determine an assignment schedule so as to minimize the total course preparation time for all courses:

Professor	Linear Programmes	Queueing Theory	Dynamic Programme	Regression Analysis
A	2	10	9	7
B	15	4	14	8
C	13	14	16	11
D	4	15	13	9

A small maintenance project consists of the following ten jobs whose precedence relations are identified by their node number:

Job (i, j)	(1, 2)	(2, 3)	(2, 4)	(3, 5)	(3, 6)
Duration (days)	2	3	5	4	1
Job (i, j)	(4, 6)	(4, 7)	(5, 8)	(6, 8)	(7,8)
Duration (days)	6	2	8	7	4

Draw an arrow diagram.
Find the critical path.

Explain multiple item static model with storage limitation.

PART – C (2´20=40 marks)

Answer any TWO questions.

Use Big M method to

Minimize

Subject to the constraints :

Consider the following transportation table showing production and transportation costs along with the supply and demand positions of factories/distribution centres:

	M₁	M₂	M₃	M₄	Supply
F₁	4	6	8	13	500
F₂	13	11	10	8	700
F₃	14	4	10	13	300
F₄	9	11	13	3	500
Demand	250	350	1050	200

Find an initial basic feasible solution by using VAM.

Find an optimal solution for the above problem.

Solve the game graphically :

Player B

Player A

Explain single item static model with one price break with the necessary diagram in detail.

Go To Main page

Loyola College M.A. Economics April 2003 Mathematical Methods-II Question Paper PDF Download

November 2, 2017 by 01 prakash

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034.

M.A. DEGREE EXAMINATION – ECONOMICS

SECOND SEMESTER – APRIL 2003

MT 2900 / M 875 – MATHEMATICAL METHODS – II

28.04.2003

1.00 – 4.00 Max : 100 Marks

Answer ALL questions.

a) Evaluate . (3)
b) Evaluate

(OR)

Marginal cost as a function of units produced is given by Find
the total and average cost functions if fixed cost is 16.3. (7)

C) i) The quantity demanded and the corresponding price, under pure competition are
determined by the demand and supply functions and
Determine the corresponding consumers’ surplus and producers’
surplus. (10)
ii) If investment flow is given by and the initial capital stock at t = 0 is 30,
find the function representing capital, K (5)

(OR)

iii) Find the profit-maximizing output and the total profit at that point if the marginal
revenue and marginal cost functions are given by

(10)

iv) Evaluate (5)

a) Solve (3)
b) Solve

(OR)

Solve (7)

i) The change in price, y, with change in quantity demanded, x, of a particular
commodity is given by . Find the relationship between price
and quantity demanded if the price is 7.5 when the quantity demanded is 4. (10)
ii) Discuss Domar Macro Model. (5)

(OR)

iii) Obtain the general solution of the difference equation and a
particular solution if (10)

iv) Solve the equation and find the particular solution if (5)

III. a) If find A B. (3)

b) Find the characteristic roots of the matrix

(OR)

Solve the equation and find the particular solution if . (7)

i) By Gaussian Elimination method, find the inverse of the matrix (10)
ii) If and Prove that . (5)

(OR)

Solve

(10)

iv) If Prove that (5)

a) If and find . (3)
If X = and A = then prove that

(OR)

If Prove that (7)

c) Determine the maxima and minima of (15)

(OR)

Determine the maximum of the function (15)

Go To Main page

Loyola College M.A. Economics Nov 2003 Statistics For Economists Question Paper PDF Download

November 2, 2017 by 01 prakash

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034

M.A., DEGREE EXAMINATION – ECONOMICS

FIRST SEMESTER – NOVEMBER 2003

ST-1900/S774 – STATISTICS FOR ECONOMISTS

13.11.2003 Max:100 marks

1.00 – 4.00

SECTION-A

Answer ALL questions. (10X2=20 marks)

In a moderately skewed distribution, the mean and the median are 34.5 and 38.6 respectively. Compute the most probable mode.
Why do we require two regression lines and when they will coincide?
What is the purpose of constructing Index numbers? How do you select the base period?
From the following data, construct an index number for 2003 taking 2000 as base by using the price relatives method:

Commodities Prices for 10 kgs in Rs.

2000 2003

A 70 95

B 46 80

C 130 215

D 190 380

State addition theorem on probability.
Of 12 accounts held in a file, four contain a procedural error in posting account balances. In an auditor randomly selects two of these accounts without replacement, what is the probability that neither account will contain a procedural error?
Comment on the following statement:

“For Binomial distribution mean is and variance is 5”

Explain briefly any two characteristics of a Normal distribution.
Distinguish between simple and composite hypotheses by giving suitable examples.
What is ‘Analysis of variance’ and where is it used?

SECTION-B

Answer any FIVE questions. (5X8=40 marks)

The following table gives the distribution of monthly income of 600 families in a certain village.

Monthly income (in Rs.) No. of families

Below 750 60

4500 and over 20

Draw cumulative frequency curve and find the values of all quartiles. Also, verify it using the formula.

The following table shows the number of motor registrations in a certain territory for a term of 5 years and the sale of motor tyres by a firm in that territory for the same period.

Motor Registration (X): 600 630 720 750 800

No. of Tyres sold (Y): 1250 1100 1300 1350 1500

Find the regression equation to estimate Y when X is known. Also, predict Y when

X = 850.

[

Explain in detail the main components of a time series and give suitable examples.

Construct a four-yearly centered moving average from the following data:

Year: 1995 96 97 98 99 2000 2001

Imported

Cotton consumption

in India: 129 131 106 91 95 84 93

(in lakh bales)

Draw original and Trend lines on the graph.

The monthly demand for transistors is known to have the following probability distribution:

Demand (x): 1 2 3 4 5 6

Probability : 0.1 0.15 0.2 0.25 0.18 0.12

Determine the expected demand for transistors.
Also, obtain the variance
Suppose that the cost (C) of producing (X) transistors is C = 10,000 + 500 X, find the expected cost.

The life time of a certain type of battery has a mean life of 400 hours and standard deviation of 50 hours. Assuming normality for the distribution of life time, find
the percentage of batteries which have life time of more than 350 hours.
the proportion of batteries that have a life time between 300 hours to 500 hours.

An economist wants to test the hypothesis that the proportion of firms intending to increase the prices of their product is the same in three industries: should the economist accept or reject the hypothesis?

Number of firms

Decision A B C

To raise price 40 50 60

Not to raise price 60 50 40

18.Seven homemakers were randomly sampled and it was determined that the distances they

walked in their housework had an average of 39.2 miles per week and a sample standard

deviation of 3.2 miles per week. Construct 95% and 98% confidence intervals for

population mean.

SECTION-C

Answer any TWO questions. (2X20=40 marks)

a) With the help of the following data, show that Fisher’s Ideal Index satisfies both time

reversal and factor reversal tests:

Commodity 2001 2003

Price Quantity Price Quantity

A 2 50 10 56

B 6 100 2 120

C 4 60 6 60

D 10 30 12 24

b) Using the method of simple average, calculate seasonal indices for all quarters:

Quarterly cement production

(in 100 lakhs tons)

Year I II III IV

1998 3.5 3.9 3.4 3.6

1999 3.5 4.1 3.7 4.0

2000 3.5 3.9 3.7 4.2

2001 4.0 4.6 3.8 4.5

2002 4.1 4.4 4.2 4.5 (10+10)

a) Distinguish between independent and dependent events.
b) A can hit a target with pistol 3 times in 5 shots, B 2 times in 5 shots and C 3 times in 4

shots. They fire a volley. What is the probability that two shots hit?

c) A factory has two machines and the past records show that machine – A produces 40%

of the items and machine – B produces 60% of the items. It was further found that 5%

of the items produced by machine – A were defective and only 2% of items produced

by machine – B were defective. If a defective item is drawn at random, what is the

probability that it was manufactured by i) machine – A and ii) Machine – B. (4+8+8)

The following mistakes per page were observed in a book.

Number of mistakes per page: 0 1 2 3 4

Number of pages : 211 90 19 5 0

Fit a Poisson distribution and test the goodness of fit.

The designs produced by four automobile designers are evaluated by three product managers as reported below. Carry out two-way analysis and comment on your results:

Designer

Evaluator 1 2 3 4

A 87 79 83 92

B 83 73 85 89

C 91 85 90 92

Go To Main page

Loyola College M.A. Economics April 2006 Public Economics-II Question Paper PDF Download

November 2, 2017 by 01 prakash

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.A. DEGREE EXAMINATION – ECONOMICS

RF 44

FOURTH SEMESTER – APRIL 2006

EC 4804 – PUBLIC ECONOMICS – II

(Also equivalent to EC 4801)

Date & Time : 22-04-2006/9.00-12.00 Dept. No. Max. : 100 Marks

PART – A

Answer any FIVE questions in about 75 words each. (5 x 4 = 20 Marks)

What is fiscal dynamics? How does it differ from fiscal comparative statics?
Comment on weightage given to population as a criteria for sharing divisible pool of taxes with states by central government in the XII Finance commission.
Measure excess burden. How does it affect consumer or producer surplus?
What is state level value added tax? Why are some state government refusing to implement the same in their states?
What is the role of autonomous investment in Hicksian theory of trade cycle?
Distinguish between horizontal and vertical equity in tax sharing between centre and states.
What is pump priming expenditure? When is it required?

PART – B

Answer any FOUR questions in about 250 words each. (4 x 10 = 40 Marks)

Bring out the relevance of Security Transaction tax and Cash transaction tax in India.
“A tax on capital gains must be abolished” – Discuss.
Suggest some measures to over come the fiscal deficit of government of Tamil Nadu.
Why do we need highly centralized form of federal structure for India?
Explain the operation of fiscal stabilization with the help of Kenesian cross diagrams.
Derive balanced budget multiplier. Bring out the economic reasons for its value being equal to one always.
Comment on the strength of fiscal tools to bring about economic stabilization.

PART – C

Answer any TWO questions in about 900 words each. (2 x 20 = 40 Marks)

Bring out a suitable fiscal policy for India for sustaining 8% to 10% annual growth of G.D.P.
Comment on the reforms introduced in India regarding customs tariff since 1991. How far are they harmful or helpful to domestic manufactures?
Assess the salient features of personal and corporate income tax structure in India.
Explain the structure and composition of tax receipts of government of Tamil Nadu.

Go To Main page

Loyola College M.A. Economics April 2006 Principles Of Marketing Management Question Paper PDF Download

November 2, 2017 by 01 prakash

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.A. DEGREE EXAMINATION – ECONOMICS

RF 41

SECOND SEMESTER – APRIL 2006

EC 2951 – PRINCIPLES OF MARKETING MANAGEMENT

Date & Time : 02-05-2006/9.00-12.00 Dept. No. Max. : 100 Marks

Answer any FIVE questions in about 75 words each. (5 ´ 4 = 20 Marks)

Distinguish between marketing and selling.
Explain market segmentation? Describe any three types of market segmentation.
Distinguish supermarkets from departmental stores.
What is meant by sales promotion? What are its types?
What factors influence the selection of an advertising media?
Differentiate between a market and marketing.
What is market penetration?

PART – B

Answer any FOUR questions in about 250 words each. (4 ´ 10 = 40 Marks)

Explain the role of ethics in marketing.
Distinguish between selling and salesmanship.
In international marketing what are the problems encountered by the exporting companies?
Explain the concept of consumerism. Describe the methods of exploitation of the consumer.
What is the need for planning and marketing? How does it make a difference?
Bring out the role as market and market forecast.
How do you identify a market segment?

PART – C

Answer any TWO questions in about 900 words each. (2 ´ 20 = 40 Marks)

How does the consumer go about with the consumer decision-making process?
As a marketing specialist how would you look at the perspective of pricing? What methods would you follow in the pricing process?
Do middlemen in India get a reasonable or abnormal profit? Is there any possibility of eliminating them for protecting consumers and producers?
Evaluate the consumer movement in Indian perspective. Explain how standardization and grading legislation will help to overcome consumer exploitation?

Go To Main page

Loyola College M.A. Economics April 2006 Monetary Economics-II Question Paper PDF Download

November 2, 2017 by 01 prakash

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.A. DEGREE EXAMINATION – ECONOMICS

FOURTH SEMESTER – APRIL 2006

EC 4803 – MONETARY ECONOMICS – II

(Also equivalent to EC 4800)

Date & Time : 20-04-2006/FORENOON Dept. No. Max. : 100 Marks

PART – A

Answer any FIVE questions in about 75 words each. (5 ´ 4 = 20 Marks)

What do you mean by Currency chests? List out the advantages of currency chests.
Distinguish between Maximum fiduciary system and Minimum reserve system.
Write short note on REPO transactions.
Define a capital market.
Explain the concept of security analysis.
How can we control inflation?
Write a short note on indexation.

PART – B

Answer any FOUR questions in about 250 words each. (4 ´ 10 = 40 Marks)

Briefly explain the powers of the Reserve Bank of India.
State and explain the role of Social Banking in India.
“From the stand point of credit control, open market operations are complementary to Bank rate policy” – Discuss.
Discuss the objectives of portfolio management.
Bring out the features of undeveloped money market.
How is capital market helpful in promoting industrialization in India?
Discuss the techniques of monetary policy.

PART – C

Answer any TWO questions in about 900 words each. (2 ´ 20 = 40 Marks)

Critically examine various promotional functions of RBI in India.
Compare the merits and demerits of Unit banking versus Branch banking, Pure banking versus Mixed banking.
Discuss the role of RBI in controlling the growth of NBFIS.
Explain any one of the models of portfolio management.

Go To Main Page