In Ontario, the market for pop is controlled by Pepsi and Coke (we assume that consumers do not have preference for one over the other). Each rm has a xed cost of $100 million and a constant marginal cost of $0.10 per litre of pop. The demand for pop is given in the following table.\" {.1 (J I Price of a bottle of pop\"- millions of bottles '3 'J _P *J E__ *' P _ _ _5' 3.) Suppose the two rms for a cartel and act as a monopolist. Find the optimal output for each firm if they split the market equally. Find the prot for each.\" (.1 '0) Now suppose Coke decides to increase production by 40 million of bottles while Pepsi continues to produce the same quantity. Find the new market price, the quantities produced by each firm and their prots.