Inc produces chairs and tables. The profit for a chair is $200 and the profit for a table is half as much as for a chair. The firm is limited by its total available labor hours and limits on each product. The total labor hours per week are 5,000. Chairs take 5 hours of labor and a table takes 7 hours. No more than 700 chairs or 500 tables can be sold.
Write the LP model for this problem.