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A manufacturer produces three models of bicycles. The time (in hours) required to assemble, paint and pack each model is as follows. Model A Model

A manufacturer produces three models of bicycles. The time (in hours) required to assemble, paint and pack each model is as follows.

Model AModel BModel C
Mounting22.53
Chart1.521
packaging1.751.25

The total time available for assembly, painting, and packaging is 4,006 hours, 2,495 hours, and 1,500 hours, respectively. The profit per unit for each model is $45 (Model A), $50 (Model B), and $55 (Model C). How many of each type must be produced for maximum profit?

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