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, New York, and Dayton, Ohio. The Buffalo plant can produce 2,000 units of component 1, 1,000 units of component 2, or any combination of the two components each day. For instance, 60% of Buffalos 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(2,000) = 1,200 units of component 1 each day and 0.4(1,000) = 400 units of component 2 each day. The Dayton plant can produce 600 units of component 1, 1,400 units of component 2, or any combination of the two components each day. At the end of each day, the component production at Buffalo and Dayton is sent to Cleveland for assembly of the ignition systems on the following workday.

1. Formulate a linear programming model that can be used to develop a daily production schedule for the Buffalo and Dayton plants that will maximize daily production of ignition systems at Cleveland. If required, round your answer to the nearest whole number.

   Let B	=	proportion of Buffalo's time used to produce component 1
   D	=	proportion of Dayton's time used to produce component 1

1. 	B	+	D
   s.t.
   	B	+	D
   	B
   			D
   			B, D

2. Find the optimal solution. If an amount is zero, enter "0". If required, round your answer to the nearest whole number.

   Optimal Production Plan	Buffalo	Dayton
   Component 1
   Component 2