MMPO-001 Operations Research Solved Assignment 2025-2026
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MMPO-001 Operations Research
Course
Code : MMPO-001
Course
Title : Operations Research
Assignment
Code : MMPO-001/TMA/JULY/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 July 2025 Semester is 31st October
2025and for January 2026 Semester is 30th April, 2026.
1. Explain the concept and computational steps of the simplex method
for solving linear programming problems. How would you identify whether an
optimal solution to a problem obtained using the simplex algorithm is unique or
not?
2. A manufacturer employs three inputs: man-hours, machine-hours and
cloth material to manufacture two types of dresses. Type A dress fetches him a
profit of Rs. 160/- per piece, while type B, that of Rs. 180/- per piece. The
manufacturer has enough man-hours to manufacture 50 pieces of type A or 20
pieces of type B dresses per day, while the machinehours he possesses suffice
only for 36 pieces of type A or for 24 pieces of type B dresses. Formulate the
linear programming model and solve it graphically.
3. What is integer linear programming (LP)? Explain the merits and
demerits of ‘rounding off’ a continuous optimal solution to an LP problem to
obtain an integer solution.
4. Discuss the similarities in the solution procedures for
transportation and assignment models.
5. Describe a single-server waiting model. Give an example from real
life for each of the following queuing models:
a) First-come-first-served
b) Last-come-first-served
c) Random pick service
d) Customers stay only if served instantly
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