1: Solve the linear programming problem by the methods of corners. Must show all steps of this method to get credit for the problem. 1. Problem 2: a) set up the application as a linear programming problem and b) solve the linear programming problem. 2. A furniture manufacturing company manufactures dining room tables and chairs. Each table requires 8 labor-hours to assemble and 2 labor-hours to do the finishing. Each chair requires 2 labor-hours to assemble and 1 labor-hour to do the finishing. The maximum number of labor hours provided for assembling tables and chairs is 400 hours per day. The maximum number of labor hours for doing the finishing on the tables and chairs is 120 hours per day. The profit for each table is $90 and the profit for each chair is $25. How many tables and chairs should be manufactured each day to realize a profit? What is the maximum profit