A manufacturer produces two models of bicycles. The table shows the times (in hours) required for assembling,

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A manufacturer produces two models of bicycles. The table shows the times (in hours) required for assembling, painting, and packaging each model.
Hours, Hours, Process Model A Model B Assembling 2 2.5 Painting 4 Packaging 1 0.75

The total times available for assembling, painting, and packaging are 4000 hours, 4800 hours, and 1500hours, respectively. The profits per unit are $45 for model A and $50 for model B. What is the optimal production level for each model? What is the optimal profit?

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