2. Set up, but do not solve, the Linear Programming Problem. A manufacturer of fiberglass camper tops for pickup trucks makes a compact model and a regular model. Each compact top requires 5 hours from the fabricating department and 2 hours from the finishing department. Each regular top requires 4 hours from the fabricating department and 3 hours from the finishing department. There are at most 200 hours available in the fabricating department and 108 hours available in the finishing department each week. If the company makes $40 on each compact top and $50 on each regular top, how many tops of each type should be manufactured each week to maximize total weekly profit? What is the maximum profit? a.) What are the decision variables for this problem? (2 points) b.) Write the objective function. (4 points) c.) Write the constraint inequalities. (4 points) Please solve it as test answer so I will do the same if I have test or quiz. Please write your answer in very organized way and clear handwriting