1.3 ds case 1 lpp model formulation
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The document presents a linear programming problem (LPP) case study involving a bicycle frame manufacturing company. The company produces two types of frames, a Deluxe and Professional model, and needs to determine the optimal production quantity of each given material constraints. The LPP model defines the objective as maximizing total weekly profit, with decision variables for each frame type's production quantity. Constraints involve the limited weekly supplies of two alloys used in production. Students are instructed to solve this LPP case study as practice.
1.3 ds case 1 lpp model formulation
- 1. www.sanjivanimba.org.in 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
- 2. www.sanjivanimba.org.in LINEAR PROGRAMING PROBLEM ďą At the End of the Session Student will be able to develop- A. LPP Model
- 3. www.sanjivanimba.org.in 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?
- 4. www.sanjivanimba.org.in Example Pounds of each alloy needed per frame Aluminium Alloy Steel Alloy Deluxe 2 3 Professional 4 2
- 5. www.sanjivanimba.org.in 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
- 6. www.sanjivanimba.org.in Solution Max Z = 10x + 15y Subject To 2x + 4y < 100 3x + 2y < 80 x , y > 0
- 7. www.sanjivanimba.org.in EXERCISE ďą Solve the Above Case as a Practice Case in Tutorial Book.
- 8. www.sanjivanimba.org.in For More Details Contact Dr. V M Tidake tidkevishal@gmail.com tidkevishalmba@sanjivani.org.in