How much can the contribution margin for product 2 change before the current optimal solution is no longer optimal?ġ. How many hours are used for machine 3 with the optimal solution?ĥ. What is the opportunity cost associated with product 1? What interpretation should be given to this opportunity cost?Ĥ. What is the marginal value of an additional hour of time on machine 1? Over what range of time is this marginal value valid?ģ. What is the optimal production schedule for this firm? What is the profit contribution of each of these products?Ģ. The linear programming formulation of this problem is as follows:Īnswer each question and explain your reasoning or show your calculations.ġ. The following are available for scheduling: The contribution margin of the three products is £30, £40 and £35 per unit, respectively. Each unit of product 3 requires two hours on machine 1, two hours on machine 2 and two hours on machine 3.Each unit of product 2 requires four hours on machine 1, one hour on machine 2 and three hours on machine 3.Each unit of product 1 requires three hours on machine 1, two hours on machine 2 and one hour on machine 3.Note: Do not program the non-negativity constraint, as this is already assumed by the software.įor additional support, please reference the POM-QM for Windows manual available from the ‘Help’ menu in the POM-QM Windows software.Ī firm uses three machines in the manufacturing of three products: Refer to Appendix IV from the Heizer and Render (2014) textbook. Program the linear programming formulation for the problem below and solve it with the use of POM. From the main menu, select Module and then Linear Programming. Install and launch the POM-QM for Windows software. Available from: (Accessed 23 April 2015).ģ. (2014) QM for Windows linear programming YouTube. You may also wish to research and review online tutorials regarding the linear programming module and/or view the following resource. Available from the ‘Help’ menu in the POM-QM Windows software. (2013) POM-QM for Windows manual. Upper Saddle River, NJ: Prentice Hall. Review the linear programming section from the POM manual: Weiss, H.J. Read Appendix IV of the Operations Management (Heizer and Render, 2014) textbook.Ģ. In line with the topics for Week 6, you will focus on solving linear programming and project management problems.īy Wednesday (Day 7) compile your responses to the questions in one MS Word file and then submit it to the Week 6 Turnitin link.įor this part of this project, you will need to use the POM software:ġ. The key difference is you will leverage the POM-QM for Windows software in order to resolve your real-world scenarios. This Assignment will differ from other Assignments you have completed in the past. Linear programming and project management

Pom qm windows