IGNOU MS 51 SOLVED ASSIGNMENT

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MS 51 (January 2025 - July 2025) - ENGLISH

ASSIGNMENT

Course Code:MS-51

Course Title:Operations Research

Assignment Code:MS-51/TMA/JAN/2025

Coverage:All Blocks

Note: Attempt all the questions and submit this assignment to the Coordinator of your study centre. Last date of submission for January 2025 session is 30th April, 2025 and for July 2025 session is 31 October, 2025.

1. A company manufactures two products, X and Y, using machines A, B, and C. Machine A has 4 hours of capacity available during the coming week. Similarly, the available capacity of machines B and C during the coming week is 24 hours and 35 hours, respectively. One unit of product X requires one hour of Machine A, 3 hours of machine B and 10 hours of Machine C. Similarly, one unit of product Y requires 1 hour, 8 hours and 7 hours of machine A, B and C, respectively. When one unit of X is sold in the market, it yields a profit of Rs. 5/- per product, and that of Y is Rs. 7/- per unit. Formulate a linear programming model and solve this problem using the graphical method to find the optimal product mix.

2. 'Linear programming is one of the most frequently and successfully employed Operations Research techniques to managerial and business decisions. Elucidate this statement with some examples.

3. Explain, by taking an illustration, the North-West Corner rule, the Least Cost Method and the Vogel's Approximation Method to obtain the initial feasible solution to a transportation problem.

4. What is a stage in dynamic programming? Explain the steps involved in solutions to dynamic programming problems.

5. Discuss the assumptions underlying the basic EOQ formula. Also, state the economic order quantity model, discuss its sensitivity, and explain its significant extensions.

MS 51 (January 2025 - July 2025) - ENGLISH

ASSIGNMENT

Course Code:MS-51

Course Title:Operations Research

Assignment Code:MS-51/TMA/JAN/2025

Coverage:All Blocks

Note: Attempt all the questions and submit this assignment to the Coordinator of your study centre. Last date of submission for January 2025 session is 30th April, 2025 and for July 2025 session is 31 October, 2025.

1. A company manufactures two products, X and Y, using machines A, B, and C. Machine A has 4 hours of capacity available during the coming week. Similarly, the available capacity of machines B and C during the coming week is 24 hours and 35 hours, respectively. One unit of product X requires one hour of Machine A, 3 hours of machine B and 10 hours of Machine C. Similarly, one unit of product Y requires 1 hour, 8 hours and 7 hours of machine A, B and C, respectively. When one unit of X is sold in the market, it yields a profit of Rs. 5/- per product, and that of Y is Rs. 7/- per unit. Formulate a linear programming model and solve this problem using the graphical method to find the optimal product mix.

2. 'Linear programming is one of the most frequently and successfully employed Operations Research techniques to managerial and business decisions". Elucidate this statement with some examples.

3. Explain, by taking an illustration, the North-West Corner rule, the Least Cost Method and the Vogel's Approximation Method to obtain the initial feasible solution to a transportation problem.

4. What is a stage in dynamic programming? Explain the steps involved in solutions to dynamic programming problems.

5. Discuss the assumptions underlying the basic EOQ formula. Also, state the economic order quantity model, discuss its sensitivity, and explain its significant extensions.

MS 51 (January 2026 - July 2026) - ENGLISH

ASSIGNMENT

Course Code : MS - 51

Course Title : Operations Research

Assignment Code : MS - 51/TMA/JAN/2026

Coverage : All Blocks

Note: Attempt all the questions and submit this assignment to the Coordinator of your study centre. Last date of submission for January 2026 session is 30^th April, 2026 and for July 2026 session is 31^st October, 2026.

1. Define Operations Research and explain its scope. Discuss the limitations of Operations Research and enumerate the major techniques used in OR for managerial decision-making.

2. What constitutes inventory ordering costs, carrying costs and stock out costs? Explain the behaviour and relationship of these costs.

3. An agriculturist has a 125-acre farm. He produces radish, muttar (Peas) and potato. Whatever he raises is fully sold in the market. He gets Rs. 5 for radish per kg, Rs 4 for muttar (Peas) and Rs 5 for potato per kg. The average per acre yield is 1500 kg of radish, 1800 kg of muttar (Peas) and 1200 kg of potato. To produce each 100 kg of radish and muttar (Peas) and 80 kg of potato, a sum of Rs 12.50 has to be used for manure. Labour required for each acre to raise the crop is 6 man-days for radish and potato each and 5 man-days for muttar (Peas). A total of 500 man-days for labour at a rate of Rs 40 per man-day are available. Formulate this as a linear programming model to maximize the agriculturist's total profit.

4. “When it becomes difficult to use an optimization technique for solving a problem, one has to resort to simulation technique.” Discuss.

5. Using the following cost matrix, determine (a) optimal job assignment and (b) the cost of assignments

Job/ Machines	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

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