3. Blue Ridge Hot Tubs manufactures and sells two models of hot tubs: the Aqua-Spa and the Hydro-Lux. Howie Jones, the owner, and manager of the company need to decide how many of each type of hot tub to produce during his next production cycle. Howie buys prefabricated fiberglass hot tub shells from a local supplier and adds the pump and tubing to the shells to create his hot tubs. (This supplier has the capacity to deliver as many hot tub shells as Howie needs.) Howie installs the same type of pump into both hot tubs. He will have only 200 pumps available during his next production cycle. From a manufacturing standpoint, the main difference between the two models of hot tubs is the amount of tubing and labor required. Each Aqua-Spa requires 9 hours of labor and 12 feet of tubing. Each Hydro-Lyx requires 6 hours of labor and 16 feet of tubing. Howie expects to have 1,566 production labor hours and 2,880 feet of tubing available during the next production cycle. Howie earns a profit of $350 on each AquaSpa he sells and $300 on each Hydro-Lux he sells. He is confident that he can sell all the hot tubs he produces. The production of each Aqua-Spa generates 15 pounds of toxic resin, whereas each Hydro-Lux produces 10 pounds of toxic resin. Howie identified two different objectives that could apply to his problem: He can maximize profit or he can minimize the production of toxic resin. Suppose Howie considers the maximization of profit as half as important as the minimization of toxic resin. a. Formulate a MOLP model for Howies decision problem. b. Implement your model in a spreadsheet and solve it. c. What is the solution to Howies MOLP problem? d. The feasible region for this problem is shown below. Identify the Pareto optimal solutions for Howies MOLP problem. What is the formula for objective function