Suppose the marginal cost of a pure public good increases as more is purchased by a community. Prove that the Lindahl equilibrium will result in a budget surplus at the efficient annual output of the pure public good

Consider a competitive market in which the MPB = 129-3q and the MSC =3q. In this market, however, there is a positive consumption externality of $50 per unit consumed. What is the efficient level of output in this market? [Round your answer to two decimal places when needed]

A Consider agent A with (inverse) demand curve for the public good P₁ = 60 - 2QA and agent B with inverse demand PB = 90 - 5QB, where prices are measured in £ per unit. The marginal cost of producing the public good is £10 per unit. What is the Pareto efficient level of the public good? Explain. Illustrate in a graph. [Hint: Compute the marginal social benefit of the public good by adding up the demand curves vertically, over the p's]

Suppose that engineers have discovered a new production process for this product which results in a significant positive externality.  As a result of the positive externality, for every given output level Marginal Social Value (MSV1) is now higher than consumer’s marginal willingness to pay (also known as the Demand Curve shown as D0 below). Keep in mind that the setting is still that of a monopoly. 1) Please indicate on the graph above, assuming an absence of any government intervention to correct the positive externality and adding any necessary curve(s): The monopoly price P1 and the monopoly quantity Q1 under the condition of the (uncorrected) positive externality. (Also indicate, for comparison purposes, the original monopoly price P0 and monopoly quantity Q0.) The Socially Optimal output, QSO1. The resulting Consumer Surplus CS1, the resulting Producer Surplus PS1, and the size of Dead-Weight Loss DWL1 if there is such a loss. (No need to show the economic profits earned by the…