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Suppose that an industry is currently performing competitively

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Suppose that an industry is currently performing competitively. a. If the inverse demand function is P(q) = 200 - q and LRMC = LRAC = 50, what are the output and price? b. If a series of mergers monopolizes the industry and results in lower costs such that LRMC = LRAC = 40, what happens to industry output and price? Does this series of mergers improve welfare? c. If the mergers reduced monopolist's costs to LRMC = LRAC = 20, would the mergers improve welfare?