IGNOU MBA Assignment MS-51 Operations Research

IGNOU MS51 Solved Assignment

IGNOU MBA Solved Assignments 2020

Course Code : MS-51

Course Title : Operations Research

Assignment No. : MS-51/TMA/SEM-I/2020

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1. “Executives at all levels in business and industry come across the problems of making decision at every stage in their day- to day activities. Operations Research provides them with various quantitative techniques for decision – making and enhances their ability to make long range plans and solve everyday problems of running a business and industry with greater efficiency, competence and confidence”. Comment with examples.
2. Using the following cost matrix, determine (a) optional job assignment, and (b) the cost of assignments.

Machinist                    Job

1          2          3             4          5

A                     10        3          3             2          8

B                     9          7          8             2          7

C                     7          5          6             2          4

D                     3          5          8             2          4

E                      9          10        9             6          10

3. A TV repairman finds that the time spent on his job has an exponential distribution with mean 30 minutes. If he repairs sets in the order in which they come and if the arrival of sets is approximately Poisson with an average rate of 10 per 8 hour day, what is his expected idle time each day? How many jobs are ahead of the set just brought in?
4. Shruti Ltd. has developed a sales forecasting function for its products and the products of the competitors, Purnima Ltd. There are four strategies S1, S2, S3, and S4 available to Shruti Ltd. and three strategies P1, P2 and P3 to Purnima Ltd. The pay –offs corresponding to all the twelve combinations of the strategies are given below. From the table we can see that, for example, if strategy S1 is employed by Shruti Ltd. and strategy P1 by Purnima Ltd., then there shall be a gain of Rs, 30,000 in quarterly sales to the former. Other entries can be similarly interpreted. Considering this information, state what would be the optimal strategy for Shruti Ltd.? Purnima Ltd.? What is the value of the game? Is the game fair?

Purnima Ltd’s Strategy

P1                    P2                    P3

Shruti Ltd’s Strategy S1                                30,000             -21,000             1,000

S2                                18,000             14,000             12,000

S3                                -6,000              28,000             4,000

S4                                18,000             6,000               2,000

5. Write short notes on any three of the following:

(a) Random Variable

(b) Functions of Inventory

(c) Dynamic Recursive Relation

(d) Practical Application of Simulation

(e) Modified Distribution (MODI) Method