AutoIgnite produces electronic ignition systems for automobiles at a plant in Cleveland, Ohio. Each ignition system is assembled from two components produced at Autoignites plants in Buffalo, NY and Dayton Ohio. The buffalo plant can produce 2000 units of component 1, 1000 units of component 2, or any combination of the two components each day. For instance, 60% of Buffalo's production time could be used to produce component 1 and 40% of Buffalos production time could be used to produce component 2; in this case, the buffalo plant would be able to produce 0.6(2000) =1200 units of component 1 each day and 0.4(1000) =400 units of component 2 each day. The dayton plant can produce 600 units of component 1, 1400 units of component 2, or any of the two components each day. At the end of each day, the component production at Buffalo and Dayton is sent to Clevland for assembly of the ignition systems on the following work days.
A. formulate a linear programming model that can be used to develop a daily production schedule fpr the buffalo and dayton plants that will maximize daily production of ignition systems at clevland.
B. Find the optimal solution