Bob Jones is the production manager for a furniture manufacturing company. The company produces tables (X) and chairs (Y). Each table. generates a profit of $80 and requires 3 hours of assembly time and 4 hours of finishing time. Each chair generates $50 of profit and requires 3 hours of assembly time and 1 hour of finishing time. There are 360 hours of assembly time and 240 hours of finishing time available each month. a) Formulate the LP problem. b) Sketch the feasible region and identify the corner points of the feasible region. c) How many units of each type of grill should be produced in order to maximize daily profit? What is the maximum daily profit?