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, needs 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-Lux 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 Aqua-Spa he sells and $300 on each Hydro-Lux he sells. He is confident that he can sell all the hot tubs he produces. The question is, how many Aqua-Spas and Hydro-Luxes should Howie produce if he wants to maximize his profits during the next production cycle?

a. Rounded to the nearest integer, how many feet of tubing are being used in the optimal solution?

b. If possible, should the company acquire more labor hours (yeso)? If so, rounded to the nearest integer, how much labor should the company make available? (enter 1566 if your previous answer is 'no')

c. If the company could reduce the labor required to produce Aqua-Spas from 9 to 8 hours, the new Total Profit (rounded to the nearest integer) will be equal to?

d. If the company could reduce the amount of tubing required to produce Aqua-Spas from 12 to 9 feet, the new Total Profit (rounded to the nearest integer) will be equal to?

e. The unit profit on Aqua-Spas can vary between ____ and ____ without changing the optimal solution?

250 225 200 175 150 Aqua Spas Hydro (X1) Luxes (X2) Optimal Qty 122.00 78.00 Unit Profits $350 : $300 ; Total Profit $66,100 | Constraints #Required # Available For Pumps [1 1 200 Labor 9 61566 Jo Tubing 12 16 2880 Display Optimal solution Profit level curve Pump boundary line Labor boundary line Reset Tubing boundary line 125 100 80 75 0 25 50 75 100 125 150 175 200 225 250 225 200 175 150 Aqua Spas Hydro (X1) Luxes (X2) Optimal Qty 122.00 78.00 Unit Profits $350 : $300 ; Total Profit $66,100 | Constraints #Required # Available For Pumps [1 1 200 Labor 9 61566 Jo Tubing 12 16 2880 Display Optimal solution Profit level curve Pump boundary line Labor boundary line Reset Tubing boundary line 125 100 80 75 0 25 50 75 100 125 150 175 200 225