Consider a market of vertically-related firms. A monopoly manufacturer sells to competing retailers at a price m. The retailers then sell to the market at price P. The quantities at each level are at a 1:1 ratio.

Market demand is P = 200 - 2q. Firm M's marginal cost is $10 per unit. Retailers' marginal costs are $10 per unit plus the price m.

Solve for q, m, P, and firms' profits in this market.