Assume the total value of paper to society ( measuring willingness to pay) is given by the expression
TB= 1000Q-.25Q^2 where Q is the quantity of paper produced
Further assume the total cost of paper production that are directly borne by producers is:
TPC=150Q+.1Q^2
Additionally there are pollution damage costs for which the external cost can be described as
ETC= 100Q+.15Q^2
If the paper market is competitive and in all other ways operates according to the theory of supply and demand, and if the externality is un corrected, what will be the market equilibrium, in terms of resulting output level and price?