3. There are 8 identical firms in a perfectly competitive mar- ket. They all face short-run total cost: STC(Q) = F + 18 + 10Q + 2Q2 Q F Q=0 where F is the sunk cost. The market demand is D( P) = 190 - P. (a) When P = 46, how much would a firm want to produce to maximize profits? (b) When P = 46, what are the profits for a single firm in terms of F? (c) What value of F will ensure that the economic prof- its of each firm are 0 when P = 46