A market is supplied competitively by 50 low-cost firms, each with cost curve Cl(q)=350+2q+q2 and n high-cost firms, each with cost curve...

A market is supplied competitively by 50 low-cost firms, each with cost curve Cl(q)=350+2q+q2 and n high-cost firms, each with cost curve Ch(q)=400+2q+q2. Market demand is Q=2500-10p. If none of the high-cost firms makes a positive profit, how large is n? How much profit do the low-cost firms make?