A monopolist faces the (inverse) demand for its product: p = 50 - 2Q. The monopolist has a marginal cost of 10 per unit and a fixed cost given by F.

a) Compute the profit-maximizing price and quantity. Present your answers in an accurate and fully-labelled diagram.

b) Compute the maximum profit if F = 100.

c) Will this monopoly ever shut-down its production in the short-run? Why?