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A toy manufacturer makes lightweight balls for indoor play. The large basketballs uses 4 ounces of foam and 20 minutes of labor and brings a profit of $2.50. The football uses 3 ounces or foam and 30 minutes of labor and brings a profit of $2. The manufacturer has 48 pounds of foam and 120 labor-hours a week. Use the simplex method to determine the optimal production schedule so as to maximize profits. Show that the geometric method gives the same solution. show work.

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