8. (11 point.) A factory produces gadgets and generates pollution that causes $50 worth of damage per unit produced. The marginal private cost (MPC) of producing a gadget is given by the equation MPC = 20 + 0.5Q, where Q is the quantity of gadgets produced. The demand for gadgets is given by P = 100-Q, where P is the per-unit price of gadgets. Calculate the socially optimal quantity of gadgets produced.

Definition Definition Structural system an enterprise uses to collect, store, report, retrieve, and process financial data. Accounting information systems are used by business analysts, auditors, accountants, and consultants for accurate and efficient access to financial data.