Can someone please help me answer these questions asap? Thank you in advance

Suppose that a single rm supplies drinking water to a small village near the mountains. The rm's long-run cost function is given by C (Q) = Q2 + 1200 for Q > 0. Suppose that the inverse demand curve for water in this city is given by P : 160 3Q, where Q is tons of water. Because the residents of the village complain about monopoly's high prices and they demand government service, the government is considering regulating the monopoly/s price. if the government regulates the monopoly and reach the rst-best (Lei, efcient) allocation, what would be the regulated price and quantity? Does the rm has a loss under the rst-best price regulation? If so. what is the amount of the lump-sum subsidy needed for the rm to cover its loss? Under the rst-best price regulation, the quantity supplied should be type your answer... 'tons of water and the regulated price should be $ i type your answer... i. The rm has a' choose your answer... V and hence, the lump-sum subsidy required for the rm to operate is $ 1 ' i type your answer... r (Enter "0\" is a lumpsum subsidy is not needed)