LPP Model Formulation Case 3

1. www.sanjivanimba.org.in
302-DECISION SCIENCE
Unit No.1. LPP
1.5 Case 3 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

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

3. www.sanjivanimba.org.in
Example
The Sureset Concrete Company produces concrete.
Two ingredients in concrete are sand (costs $6 per
ton) and gravel (costs $8 per ton). Sand and gravel
together must make up exactly 75% of the weight of
the concrete. Also, no more than 40% of the concrete
can be sand and at least 30% of the concrete be
gravel. Each day 2000 tons of concrete are produced.
To minimize costs, how many tons of gravel and sand
should be purchased each day?

4. www.sanjivanimba.org.in
Solution
Define the objective
Minimize daily costs
Define the decision variables
x = tons of sand purchased
y = tons of gravel purchased

5. www.sanjivanimba.org.in
Cont…
Min Z = 6x + 8y
Subject To
x + y = 1500
x < 800
y > 600
x , y > 0

6. www.sanjivanimba.org.in
EXERCISE
 Solve the Above Case as a Practice Case in Tutorial
Book.

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

8. www.sanjivanimba.org.in
Thank You