9. Suppose that in Horsehead, Massachusetts, the cost of operating a lobster boat is $2,000 per month. Suppose that if x lobster boats operate in the bay, the total monthly revenue from lobster boats in the bay is $1,000(10x x²). If there are no restrictions on entry and new boats come into the bay until there is no profit to be made by a new entrant, then the number of boats who enter will be X₁. If the number of boats that operate in the bay is regulated to maximize total profits, the number of boats in the bay will be X₂.