MS-51 EM 2024 SOLVED ASSIGNMENT

Description

ASSIGNMENT
Course Code : MS – 51
Course Title : Operations Research
Assignment Code : MS – 51/TMA/JAN/2024
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 2024 session is 30th April, 2024
and for July 2024 session is 31st October, 2024.

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.