<P>consider an industry with the following structure. there are 50 firms that behave in a competitive manner and have identical cost functions given by c(y)=y^2/2. There is one monopolist that has 0 marginal costs. the demand curve for the product is given by <BR>D(p)=1000-50p.<BR>(a) what is the monopolist's profit-maximizing output?<BR>(b) what is the monopolist's profit-maximizing price?<BR>(c) how much does the competitive sector supply at this price?</P>