Assume a market in perfect competition. In the market there are companies "a" and "b", there are 12 companies of each type. The total cost curves are represented by: TCa=3q2+10q+10 TCb=6q2+10q+20 Whose marginal costs (MC) are: MCa=6q+10 MCb=12q+10 Market demand is given by: Q = 370 - P It is requested: (a) Find the supply functions for "a" and "b" in the short run. b) With the supply functions founded at (a), obtain the industry's short-run supply. c) Calculate the quantity and price of the industry in equilibrium. d) Find the quantity produced and profits of each firm "a" and "b". e) Assume we are now in the long run. Assume that the total cost curve (TCa and TCb) are given by the curves mentioned in the statement, but WITHOUT the fixed cost component (FC). What is the individual supply function?