LPP Model Formulation

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302-DECISION SCIENCE
Unit No.1. LPP
1.3 Case 1 LPP Model
Formulation
Presented 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. LPP Model

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Example
Cycle Trends is introducing two new lightweight bicycle
frames, the Deluxe and the Professional, to be made from
aluminum and steel alloys. The anticipated unit profits are
Rs. 10 for the Deluxe and Rs. 15 for the Professional.
The number of pounds of each alloy needed per
frame is summarized on the next slide. A supplier delivers
100 pounds of the aluminum alloy and 80 pounds of the
steel alloy weekly. How many Deluxe and Professional
frames should Cycle Trends produce each week?

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Example
Pounds of each alloy needed per frame
Aluminium Alloy Steel Alloy
Deluxe 2 3
Professional 4 2

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Solution
Define the objective
Maximize total weekly profit
Define the decision variables
x = number of Deluxe frames produced weekly
y = number of Professional frames produced
weekly

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Solution
Max Z = 10x + 15y
Subject To
2x + 4y < 100
3x + 2y < 80
x , y > 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