A Large Firm That Is a Price Leader in an Industry

A large firm that is a price leader in an industry characterized also by many small competing firms estimates that the market demand for its product to be as follows: Q_m = 40,700 - 100P, where Q_m is units per month.
It expects small firms in the industry to supply output according to the following function: Q_s = 700 + 25P.
The demand function for the large firm is Q_L = 40,000 - 125P.