RESEARCH METHODOLOGY AND OPERATIONS — Winter 2018

What, if any, are the differences between solicited and unsolicited proposals?

Distinguish between the following: (1) Exploratory and formal studies. (2) Experimental and ex post facto research designs.

Explain in detail various steps of the research process.

Write the dual of the following problem. Minimize Z = 3u + 4v subject to 5u + 6v ≥ 7, 8u + 9v ≥ 10, u, v ≥ 0.

Explain the difference between Qualitative and Quantitative Research.

What is Simulation? Describe Monte Carlo Simulation. Explain applications of simulation in business environment.

An automobile company wants to launch premium segment SUV in Indian market. Before launching it, the company wants to conduct market research on“Understanding Customer preference and purchase intention for premium segment SUV in India”. Prepare a questionnaire for the same.

On an average, 5 customers reach a barber’s shop every hour. Determine the probability trust exactly 2 customers will reach in a 30 minute period, assuming the arrivals follow poisson distribution.

What do we mean by ‘Duality’? Write some important features of ‘Primal & Dual’ problem. Write the dual of the following problem Minimise Z=10X +20X12 Subject to 3X +2X ≥1812 X +3X ≥812 2X -X ≤612 X ,X ≥012 Page 1 of

07 Find a simple (linear) regression using the following data. X Y558 Q.5

Explain the basic concepts of Sensitivity Analysis. What are the different factors affecting the given solutions and how do we resolve them? Give a brief comment on each of them.

Solve Graphically: Maximise Z=10X +15X12 Subject to 2X +X ≤2612 2X +4X ≤5612 X -X ≥-512 X ,X ≥012

What is a research? State each aspect of a good research and write distinct features or characteristics of that aspect.

Define hypothesis in research terminology. What is a null hypothesis? Give important features on each of the followings. (1) Descriptive Hypothesis (2) Explanatory Hypothesis. Explain type-Iand type –II errors

A Travelling salesman has to visit five cities. He wishes to start from a 0 particular city, visit each city once and then return to his starting point. The travelling cost (in Rs.) of each city from a particular city is given below. What should be the sequence of the salesman's visit, so that the cost is minimum?

Explain salient features of ‘Goal Programming’.

You work as a sales manager for a toy manufacturer, and you currently have three salespeople on the road meeting buyers. Your salespeople are in Austin, TX; Boston, MA; and Chicago, IL. You want them to fly to three other cities: Denver, CO; Edmonton, Alberta; and Fargo, ND. The table below shows the cost of airplane tickets in dollars between these cities. Denver Edmonton Fargo Austin 250 400 350 Boston 400 600 350 Chicago 200 400 250 Where should you send each of your salespeople in order to minimize airfare? From \ To D E F A 250 400 350 B 400 600 350 C 200 400 250 Where should you send each of your salespeople in order to minimize airfare? Page 3 of