Formulate but do not solve the following exercise as a linear programming problem.A division of the Winston Furniture Company manufactures x dining tables and y chairs. Each table requires 40 board feet of wood and 5 labor-hours. Each chair requires 16 board feet of wood and 4 labor-hours. In a certain week, the company has 3,600 board feet of wood and 500 labor-hours available.If the profit for each table is $50 and the profit for each chair is $18, how many tables and chairs should Winston manufacture to maximize its profits P in dollars?MaximizeP=

subject to the constraintsboard feet

labor-hours

x 0

y 0