Compute the following microeconomic equations. If any clarifications are needed please leave a comment.

Consider a city where there are one million identical households. Each household has the following inverse demand curve for electricity: p = 200 - 2Q where Q is the quantity demanded per household per year and p is the price per unit. (i) Suppose that electricity is supplied by perfectly competitive firms, at a constant marginal cost of $50 per unit. There are no fixed costs. Find the equilibrium price and the equilibrium quantity demanded per household per year. Denote this quantity by Q, where the subscript e in Q, indicates that this is the outcome under perfect competition. (ii) Now suppose that the perfectly competitive firms merge into a single firm (a monopoly). The marginal cost remains unchanged. Assume that the monopoly is required by a regulatory agency to charge a single price. What is the single price that maximizes the monopoly's profit? Denote this price by pm, and the associated quantity demanded (per household per year) by Qm. Find the monopoly's profit, and denote it by Im. Find the ratio Qm/Qe: Compute the dead-weight loss under single-price monopoly