Maximizing Profit. Cambridge Metal Works manufactures two sizes of gears. The smaller gear requires 4 hr of machining and 1 hr of polishing and yields a profit of $45. The larger gear requires 1 hr of machining and 1 hr of polishing and yields a profit of $30. The firm has available at most 24 hr per day for machining and 9 hr per day for polishing. Assume that all that are made are sold. How many of each type of gear should be produced each day in order to maximize profit? What is the maximum profit?
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