Coca-Cola and Pepsi constitute a duopoly in the production of soft drinks. Coca-Cola has the following cost structure (_c) = 20 + 3_c + (_c)^2, and the Pepsi, (_p) = 50 + _p + (_p)^2. If the market demand for soft drinks is given by = _c + _p = 200 - , find the equilibrium if Coca-Cola is the leader in this market and interpret.