A company produces two types of wood-chippers, economy and deluxe. The deluxe model requires 3 hours to assemble and 2 hours to paint, and the economy model requires 2 hours to assemble and 1 hour to paint. The maximum number of assembly hours available is 24 per day, and the maximum number of painting hours available is 14 per day. If the profit on the deluxe model is $18 per unit and the profit on the economy model is $14 per unit, how many of each should the company produce to maximize the profit and what is the maximum profit? Let x = number of deluxe models and y = number of economy models. a. Write all constraints for this linear programming problem b. What is the objective function? c. Write in a complete sentence the goal of solving this linear programming problem. d. Graph the constraints and shade the region of feasible solutions. Need to show all the work involved in finding the feasible region. Make sure to label and scale the axes, label coordinates of intersection point and intercepts, and label each graph with its equation. e. List the corner points of the region of feasible solutions and