1.5 ds case 3 lpp model formulation
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The document presents a linear programming problem (LPP) case study about minimizing the daily costs of purchasing sand and gravel for a concrete company. The company produces 2000 tons of concrete per day using sand and gravel. Sand costs $6 per ton and gravel costs $8 per ton. The problem is formulated as an LPP model with the objective of minimizing costs and constraints for the total tons of sand and gravel purchased and limits on the percentage of each material used. Students are instructed to solve this case as a practice problem.
1.5 ds case 3 lpp model formulation
- 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