Assignment B.tech. 3rd Year (optimization And Operational Research).docx

THE ICFAI UNIVERSITY, Dehradun ICFAI Tech School II Semester, 2018 (B.Tech. 3rd Year)

Assignment I Course No: MA 301

Course Name: Optimization and Operational Research

Max marks: 05

Weightage:

Date: 25/01 /2018

Time : One Week

Name:

ID No:

Instructions: Submit within a week each question carry equal mark.

Q1. Define Nature and Meaning of Operational Research. Q2. The manufacturer of medicines is proposed to prepare a production plan for medicines A and B. There are sufficient ingredient available to make 20,000 bottles of medicine A and 40,000 bottles of medicines B, but there are only 45,000 bottles into which either of medicine can be filled, further it takes three hours to prepare enough material to fill 1000 bottles of medicine A and one hour to prepare enough material to fill 1000 bottles of medicine B. and there are 66 hours available for this operation. The profit is Rs. 8 per bottle for medicine A and Rs. 7 per bottle for medicine B. Formulate the LPP. Q3. Solve the following LPP Graphically Max z = 8000x1 + 7000x2 subjected to 3x1 + x2 ≤ 66, x1 + x2 ≤ 45 , x1 ≤ 20 , x2 ≤ 40 and x1 , x2 ≥ 0 Q4.

Solve the LPP by Ordinary Simplex method Max z = 3x1 + 5x2 + 4 x3 subjected to 2x1 + 3x2 ≤ 8, 2x2 + 5x3 ≤ 10 , 3x1 + 2x2 + 4x3 ≤ 15 and x1 , x2 , x3 ≥ 0

Q5.

Solve the LPP by Big M method Max z = 3x1 - x2 subj. to 2x1 + x2 ≥ 2, x1 + 3x2 ≤ 3 , x2≤ 4 and x1 , x2 ≥ 0 ---------------------