An industrial chemical plant produces hazardous by-products. The own or private marginal cost function (supply function) of this chemical producer can be represented as PMC = 5,000 + 0.25Q. Given that the hazardous by-products costs imposed on other members of the same economy, the social marginal cost function is SMC = 10,000 + 0.250. The demand or marginal benefit function from the industrial chemical can be represented as MB = 30,000 -0.250. Use both marginal costs and marginal benefit functions to answer the following questions. i.)What will be the equilibrium prices and quantities under a pure market allocation(that is, the industrial chemical producer does not recognize the costs imposed on other market agents)