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Short-run demand and total cost functions for a monopoly firm are as under: Demand function : Q = 100 - 0.2 P Price function : P = 500 - 5 Q Cost function : TC = 50 + 20 Q + Q 2 Where Q = Total quantity of the product in physical units. P = Price of the product per unit TC = Total cost What is the profit maximizing output of the pure monopoly firm?