mathematical solution for, Macroeconomics

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given the market demand curve is P=a-bQ and MC=D. derive mathematicaly a perfect compettition, B monopoloy, C, Cournot Duopoly, D cournot Tipopoly, E cournot quadropoly, F Stackleberg, g treat solution. For all of B-G give output of each firm and the combined output of the industry. In the case of perfect competition just give the ouput of the industry.

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