LPP Model Formulation Case Study

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302-DECISION SCIENCE
Unit No.1. LPP
1.4 Case 2 LPP Model
FormulationPresented By:
Dr. V. M. Tidake
Ph. D (Financial Management), MBA(FM), MBA(HRM) BE(Chem)
Professor & Head Dept. of MBA
1
Sanjivani College of Engineering, Kopargaon
Department of MBA
www.sanjivanimba.org.in

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LINEAR PROGRAMING PROBLEM
 At the End of the Session Student will be able to
develop-
A. Complex LPP Model

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Example
Product
A B C
Machines G 4 3 5
H 2 2 4
A firm manufactures 3 products A, B and C. The profits are Rs.3,
Rs.2, and Rs.4 respectively. The firm has 2 machines and below is
the required processing time in minutes for each machine on each
product.
Machine G and H have 2000 and 2500 machine-minutes
respectively. The firm must manufacture 100 A’s, 200 B’s and 50
C’s, but not more than 150 A’s. Set up an LP problem to
maximize profit.

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Solution
Define the objective
Maximize profit
Define the decision variables
x = number of products of type A
y = number of products of type B
z = number of products of type C

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Solution
Max Z = 3x + 2y + 4z
Subject To
4x + 3y + 5z ≤ 2000
2x + 2y + 4z ≤ 2500
100 ≤ x ≤ 150
y≥ 200
z ≥ 50
x, y, z ≥ 0

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EXERCISE
 Solve the Above Case as a Practice Case in Tutorial
Book.

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For More Details Contact
Dr. V M Tidake
tidkevishal@gmail.com
tidkevishalmba@sanjivani.org.in

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Thank You