Consider a Monopolist that is facing the market demand function Q = 400 (1/2)p, where Q is total quantity demanded and p is the price that the monopolist charges per unit of output (in dollars). The monopolist has the cost function c(y) = y^2, which is the minimum level of costs for producing y units of output.

a) In a diagram with dollars on the vertical axis and output on the horizontal, plot the market demand function, the monopolist's marginal cost function and the monopolist's marginal revenue function.