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Sweet Cherry is a family-owned business that makes handcrafted dining room tables and chairs. They obtain the cherry from a local tree farm, which ships them 2,400 pounds of cherry each month. Each table uses 50 pounds of cherry while each chair uses 26 pounds of cherry. The family builds all the furniture itself and has 480 hours of labor available each month. Each table requires six hours of labor, each chair requires 5 hours. Each table nets Sweet Cherry $400 in profit, while each chair nets $150 in profit. Since chairs are often sold with the tables, they want to produce at least twice as many chairs as tables. The numbers may not come out as integers. That is okay, just set the formats so that integer quantities are displayed.
Please answer the question: how many tables and chairs should Sweet Cherry produce so as to maximize profit.
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