Consider a monopolist facing a market demand given by: P = 300 -4Q where P is the price and Q is the quantity. The monopolist produces the good according to the cost function c(Q) = Q^2 + 10. (a) Determine the profit maximizing quantity and price the monopolist will offer in the market. (b) calculate the profits for the monopolist (c) Calculate the deadweight loss due to a monopoly. Illustrate this in a well labelled diagram