A firm manufactures tables and desks. To produce each table requires 1 hour of labor, 10 [16] square feet of wood, and 2 quarts of finish. To produce each desk requires 3 hours of labor, 20 square feet of wood, and 1 quart of finish. Available is at most 45 hours of labor, at most 350 square feet of wood, and at most 55 quarts of finish. The tables and desk yield profits of $2 and $3 each, respectively. Find the number of each product to be made in order to maximize profits.
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