Question 2 (10 points) A small marina has a single berth for removing zebra mussels from the hulls of boats entering the Great Lakes. The cleaning berth operates for a maximum of 18 days per month, and can handle only a single boat at a time. A dingy occupies the cleaning berth for a half day, a sailboat occupies the berth for 1 day, and a yacht also occupies the berth for one day. Cleaning a dinghy requires 501 of cleaner, while a sailboat requires 801, and a yacht requires 1001. To be profitable, the marina requires the berth to clean at least 12 boats per month on average. Finally, because of lobbying by the local boating club, the average number of dinghies cleaned per month must equal the total number of sailboats and yachts cleaned per month, on average. How many boats of each size should the facility clean per month, on average, to minimize the average amount of cleaning fluid used per month