Soft Copy: Yes

Downloadable File: Yes

MS-51 Operations Research Question and Answer

Course: Master of Business Administration

University: IGNOU

File: PDF/Zip

Fully Solved: Yes

## MS-51 Solved Assignment 2022 – Operations Research

1. What is operations research? What are the characteristics of operations research? Discuss the significance and scope of operations research in modern management.

2. A construction company has undertaken three projects, one each in City A, City B and City C. Each project requires a specific supply of raw material which the firm sources from the Cities D, E, F, and G. Shipping costs (in rupees) differ from location to location. The following table summarizes the problem the manager of the construction firm faces:

From To Available supply (tons)

A B C

D 400 500 250 1350

E 600 450 200 750

F 350 150 250 1200

G 450 250 350 900

Demand(tons) 1800 1500 1650

The contractor learns that due to some difficulties, currently no shipments are possible between the cities D and A, and between F and C.

a) Obtain the optimal transportation plan for the contractor. Calculate the total cost. At what location is some supply going to be short? By how much?

b) Is the solution in (a) is unique. If not, identify another optimal solution.

c) Write the dual of this problem and use the values of the dual variables to check the optimal solution.

3. What is Goal programming? What are the steps involved in Goal programming model formulation? Discuss the applications of Goal programming with suitable examples.

4. A manufacturing company uses Rs. 10,000 worth of an item during the year. He has estimated the ordering costs as Rs. 25 per order and carrying costs as 12.5$ of average inventory value. Find the optimal order size, number of orders per year, time period per order and the total cost.

5. Write a short note on the following:

i. Characteristics of a queuing model

ii. Zero – sum two person games.

iii. Steps in the simulation process.

iv. Random experiment and probability.