The Jones Furniture company produces tables and chairs. Each table requires 4 hours of carpentry labor, 3 hours of painting labor, and 100 board-ft. of wood. Each chair requires 4.5 hours of carpentry labor, 2 hours of painting labor, and 75 board-ft. of wood. Each table returns a profit of $6, and each chair returns a profit of $4.75. Each month, there are 2400 hours of carpentry labor, 1500 hours of painting labor, and 10,000 board-ft of wood available. Management requires at least 50 tables be produced each month. a. Find the number of tables and chairs that should be produced each month to maximize overall profit.