One firm is dominant in an industry and lets all of the other firms, which are much smaller, sell all that they want at the existing price. In other words, the smaller firms act as in perfect...

One firm is dominant in an industry and lets all of the other firms, which are much smaller, sell all that they want at the existing price. In other words, the smaller firms act as in perfect competition and the dominant firm sets the price, which the others accept. The industry demand is such that P = 2100- Q where Pis the product's price and Q is total market demand.

The amount supplied by the smaller firms is Q_S=0.5P.

The marginal cost curve of the dominant firm is MC = Ui, where OA is its own output. What will the price be?

How much will the dominant firm produce, and how much will the industry as a whole produce?