A factory releases one unit of pollution for each unit of output produced. The marginal cost of production is given by MC=2+Q, where Q is the number of units of output produced. The demand function for the product is given by Q=20-P. The marginal external cost (damage) from pollution is given by MEC=0.5Q. a. What will be the equilibrium price and quantity if the market is left unregulated? b. What is the socially optimal level of output? c. Compute the deadweight loss due to the externality. d. Compute the Rigoxian per-unit tax on output that would result in the socially efficient level of output.