5: External Cost in Transportation and DWL (10 pts) Assume a private MC curve is given by MCp = x; the social MC curve is given by MCs = 3x, where x denotes the quantity driven (i.e., vehicle miles). Private marginal utility is given by MUp=120-x. a) Calculate the private outcome, i.e., quantity and price ( 3 pts) b) Calculate the socially optimal outcome, i.e., quantity and price ( 3 pts) c) Calculate the DWL incurred at the private outcome (4 pts