AutoIgnite produces electronic ignition systems for automobilesat a plant in Cleveland, Ohio. Each ignition system is assembledfrom two components produced at AutoIgnite’s plants in Buffalo, NewYork, and Dayton, Ohio. The Buffalo plant can produce 2,000 unitsof component 1, 1,000 units of component 2, or any combination ofthe two components each day. For instance, 60% of Buffalo’sproduction time could be used to produce component 1 and 40% ofBuffalo’s production time could be used to produce component 2; inthis 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 ofcomponent 2 each day. The Dayton plant can produce 600 units ofcomponent 1, 1,400 units of component 2, or any combination of thetwo components each day. At the end of each day, the componentproduction at Buffalo and Dayton is sent to Cleveland for assemblyof the ignition systems on the following workday.

1. Formulate a linear programming model that can be used todevelop a daily production schedule for the Buffalo and Daytonplants that will maximize daily production of ignition systems atCleveland. If required, round your answer to the nearest wholenumber.
   

   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". Ifrequired, round your answer to the nearest whole number.
   

   Optimal Production Plan	Buffalo	Dayton
   Component 1
   Component 2