INSTRUCTIONS
Each question is printed both in Hindi and

r
in English. .­Answers must be written in the medium
l specified in the Admission. Certificate issued to you, which must be stated clearly on the cover of the answer-book' in the space provided for the plfrpose. No marks will be given for the answers written in a medium other than that specifred in the Admission Certificate.
Candidates should -attempt Questions no. 1 and 5 which are compulsory, and any three of the remaining questions selecting at least one question from each Section.
All questions carry equal ,marks.
Assume suitab'le data if considered necessary and indicate the'same clearly. A a tnormal distribution'
table are attached with this question paper. The graph-sheet may be carefully and attached securely to the answer-book by .the candidate.

SECTION A
1. Read the situation given below and answer the questions given at the end of it.
A company is dealing with two products A and B. The company uses three resources to make the products, namely machines, men and material. To produce the products, the total capacity available per week is as follows:machines -180 hours, men ­150 hours and material-200 kg. Every unit of product A requires 9 hours of machines,7 hours of men and 4 kg of material. The corresponding figures for product B are: 5 hours of machines, 3 hours of men and 4 kg of material. The company has estimated that the cost of machine is rupees 50 per hour, cost of men is rupees 30 per hour and cost of material is rupees 10 per kg,regardless of the product made. The company sells these products in the domestic market and as per the company records, the profit of the company is rupees 40 per unit of product A and rupees 20 per unit of product B. (kg kilograms) (i)Formulate the following problem as Linear Programming Problem: How much of products A and B should be produced
to minimise the weekly total cost of machines, men and material?
(ii)Formulate the following problem as Linear Programming
Problem: How much of products A and B should be produced
to maximise the weekly total profit of the company?
(iii)Solve question
using graphical method,
to minimise the weekly total cost.

(iv)Do you think it is possible to have multiple solutions
resulting in the same minimum weekly total cost in case
of minimisation problem and resulting in the same maximum
weekly total profit in the maximisation problem?
If yes, how should the company identify such situations

Prepare a typical Tableau to solve the minimisation problem by using Simplex Method.

2. Read the case described below and answer the questions given at the end of the case. Quant Corporation is a major manufacturer of hard disk drives and other high technology storage components. Quant faced two key challenges in its manufacturing process. The first was streamlining the component supply process,to reduce on hand inventory. Its traditional ordering process was labour intensive, involved numerous phone calls and manual inventory checks, leading to high inventory levels. Quant needed a solution to automate the ordering process to increase accuracy, efficiency and reduce the needed inventory to 3 days' supply. This would also provide the company's purchasing agents with more time for non-transactional tasks. Quant's second challenge was to improve the quality of the components' data In its Material Requirement Planning system. The solution that Quant used to automate its component supply process was an inter-enterprise system that automatically e-mails reorders to suppliers, using an innovative event detection and notification solution. It scans Quant's databases twice daily, asseSSIng material requirements. Orders are automatically initiated and sent to suppliers as needed, allowing suppliers to make regular deliveries to match Quant's production schedules. To elevate data quality, Quant implemented a system called "Categoric Alerts" to proactively catch any data errors or omissions in its MRP database. The estimated value of the improved ordering process using the new system is crores of rupees In inventory reductions each year. The buyers have reduced transaction costs and tasks.Both Quant and its buyers get lot more information with a lot less work. The analysts have been freed from the drudgery of scanning reports. Employee satisfaction has greatly increased. Data integrity of MRP rose from 10% to 100%.Response to customer demand is much quicker. The system paid for itself in the first year.
Identify the internal:and ·external parts of the supply chain enhanced by the system.
Explain how purchasing was improved. What functions does MRP perform How is this improved by automation
How are Quant's customers better served now
How does Quant evaluate the automated system? Is this adequate
What additional steps can Quant take?


3. Read the case described below and answer the questions given at the end of the case. 12x5=60
Jean a global jeans manufacturing company reached its peak sales in 1996 and then found its sales steadily declining by 40% within 5 years in value terms, even though the total jeans market grew at an average rate of 10% a year, during the period. A combination of good design, pursuit of new trends and savvy marketing helped competitors take away market share from Jean L. Jean L had traditionally focussed on Jeans for men, but the company's products were found to be too outdated, expensive and rather unresponsive to changing market preferences. Jean L had not moved its manufacturing base to low cost producing countries. The company responded to the declining market share using three, key steps. First, the company closed most of its plants, in its home country and laid off over 6500 employees, shifting manufacturing to low cost countries. Second,it attempted to stay ahead of fashion trends rather than follow them, paying much more attention to women, with a series of new designs such as "Superflow" line of jeans meant to feel feminine, mass marketing the jeans within three months of testing. Third, the company announced its "Original Spin" program supply custom made jeans for individual customers, using web based technology and computer controlled production equipment for mass customization. Today a fully stocked Jean L store carries 130 pairs of ready-to-wear jeans and with the "Original Spin" program, the choices available can leap up to 750. Jean L charged a premium of 20% for this service. This helped redefine relationship with customers as customer's personal "Jeans Adviser". The company also installed a device to scan the entire body of the customer to generate custom patterns directly transmitted to production plant.
general, how do you analyse the competitive forces in an industry? Which forces did Jean L experience?
What are the generic competitive strategies that companies can adopt
(iii)How can a company make choice of its competitive strategy
What strategy did Jean L pursue originally? Why did the 'strategy fail?
(v)How do you evaluate the strategic change implemented by Jean

4. Read the situation described below and answer the questions given. A company is selling a product in the domestic market. From the records of the company, data was compiled for 16 quarters and this is shown in the table below. <img src='./qimages/1062-4.jpg'>
What are your observations on the sales data given in the table?
Estimate the sales likely to occur In quarters 17, 18, 19 and 20.
At present the company is making the product in house. The company wishes to evaluate the option of outsourcing the product. How should the company systematically carry out the make or buy analysis
The company is presented with three options make in house, buy locally, import. There are three market scenarios: demand may increase, demand may decrease and demand may remain at the present level. The table below gives the expected profit the company will make for each combination. Which option should the company choose if the probability of demand increasing is probability of demand decreasing is 0·45 and probability of demand remaining as at present level is 0·25
Expected Profits for EachCombination

Options Demand Scenarios
May increase May decrease may remain at present level
Make in house Rs100 Rs20 Rs40
Buy locally Rs50 Rs70 Rs30
Import Rs65 Rs80 Rs35

question other data remaining same, which option will you choose if the probabilities of all market conditions
are unknown? Why?

SECTION B

5. Read the situation given below and answer the questions given at the end of it. A district police officer has collected data regarding 75 crime-sheeters in his district. This data is given in the table below. The data shows the age of the crime-sheeter when the First Information Report was registered. Answer questions by showing all the steps.

Data showing the age of 75 crime-sheeters
14 24 70 65 22 40 55 17 32 34 42 45 19 20 25
16 26 72 67 24 42 27 19 34 36 44 37 21 22 27
12 22 68 63 20 38 23 15 30 32 40 23 17 18 23
13 25 71 66 23 41 26 18 33 33 43 33 20 21 26
33 45 53 63 23 13 54 24 64 64 53 72 12 15 54

Using the data given in the table, find:
Mean
Median
Mode
Standard deviation
Coefficient of Variation
What observations can you make with your
analysis?
(iii)What is the probability of finding a crime-sheeter who is older than 50 years
(iv)If a statement is made "Crime-sheeters in the age group of 35 to 50 are more likely ,than those in the age group of
55 to 70," how would you verify the statement using Tests of Hypothesis

6. Read the case given below.and answer the questions given at the end of the case. 12x5=60
A multiproduct household appliance manufacturing company found that its total product range had grown to well over 400 products. Different products competed in different markets, with either same or different competitors. While the company had leading market shares in some products, in several other products, its market shares were well below the main competitors. The company was profitable, but it found that the profits were not growing commensurate with overall sales growth and the efforts put in. As a first step to study the problem in depth, the company decided to carry out a "Product Portfolio Analysis" based on the well-known technique known as "Boston Consulting Group Matrix". First the company chose a representative sample of 10 products and compiled data on its relative market share and rate of growth of market for each of the ten products. The data is given in the table below.
<img src='./qimages/1062-6.jpg'>
*Relative Market Share, 100 x Market Share of the company /Median-Market Share for all the companies
In this formula, the companies to be taken into account are those that compete in the market
for a specific product. Any growth rate of market above 15% was considered
as "high" and below 15% was considered as "Low" growth rate. The company had feared that if the trend of profits
not increasing in line with the sales continued, it would soon enter a phase of profit1ess growth.
What is Boston Consulting Group Matrix
How are products classified uSIng the BCG Matrix?
Apply BCG Matrix to classify the sample products in the table.
Is the company's product, portfolio balanced Why?
v)What steps should the company take to ensure it doesn't experience profitless growth

7. Answer the following questions

Distinguish between "competitive advantage" and "comparative advantage". How are endowments of
a country's factors of production linked comparative advantage?

How do the factors mentioned below impact international trade
Increasing returns to scale
Product differentiation
Imperfect competition
Irreversible investments
Externalities and spillover effects

(iii)How does the "Product Life-cycle Theory" explain the globalization of firms What are the four generic strategies
to compete and secure competitive advantage in global markets? What are the key requirements for a product to be a
true "global"product?

8. Answer the following questions
Speedy development of infrastructure is one of the important thrust areas of government policy in recent times. A particular initiative that government has taken in this regard is to engage private enterprise in infrastructure development through "Public Private Partnerships". An example of such partnership is the "Build-Operate-Transfer Model which is being implemented across most of the areas of infrastructure development. It is believed that India's success in speedy infrastructure development will depend crucially on the success of the Public Private Partnership Model.
Mention any five areas of infrastructure development where PPP Model has been implemented.
a typical "Build-Operate-Transfer
Model, what are the responsibilities of Government as "Owner" and the private entrepreneur as the "Concessionaire"
In a typical "Build-Operate-Transfer Model, what are the major risks borne entirely by the "Owner"
and by the "Concessionaire" respectively
which area of infrastructure development do you think the PPP Model has been most successful? Why
(ii)What do you understand by Corporate Governance? What factors have led to increasing emphasis on good Corporate Governance? What constitutes good Corporate Governance from the standpoint of different stakeholders? Provide a brief review of Corporate Governance practices in India.