AutoIgnite produces electronic ignition systems for automobiles at a plant in Cleveland, Ohio. Each ignition system is assembled from two components produced at AutoIgnite’s plants in Buffalo, New York, 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 Buffalo’s production time could be used to produce component 2; in this case, the Buffalo plant would be able to produce 0.6(2000) 5 1200 units of component 1 each day and 0.4(1000) 5 400 units of component 2 each day. The Dayton plant can produce 600 units of component 1, 1400 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. 2. Find the optimal solution.
AutoIgnite produces electronic ignition systems for automobiles at a plant in Cleveland,
Ohio. Each ignition system is assembled from two components produced at AutoIgnite’s
plants in Buffalo, New York, 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 Buffalo’s production time could be used to produce component 2; in this case,
the Buffalo plant would be able to produce 0.6(2000) 5 1200 units of component 1 each
day and 0.4(1000) 5 400 units of component 2 each day. The Dayton plant can produce 600
units of component 1, 1400 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
ignition systems at Cleveland.
2. Find the optimal solution.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 1 images
