7/22/2019 Linear Program 2

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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, ew !or", and #ayton, Ohio. $he Buffalo plant can produce %&&& unitsof component ', '&&& units of component %, or any combination of the two components

each day. (or instance, )&* of Buffalo’s production time could be used to produce component

' and +&* of Buffalo’s production time could be used to produce component % inthis case, the Buffalo plant would be able to produce &.)-%&&& / '%&& units of component

' each day and &.+-'&&& / +&& units of component % each day. $he #ayton plant

can produce )&& units of component ', '+&& units of component %, or any combination of the two components each day. At the end of each day, the component production at Buffalo

and #ayton is sent to Cleveland for assembly of the ignition systems on the following

wor" day.

a. (ormulate a linear programming model that can be used to develop a daily production

schedule for the Buffalo and #ayton plants that will ma0imi1e daily production of ignition

systems at Cleveland.

 b. (ind the optimal solution.