A monopoly's demand curve is P=600 - 20 and its cost to produce Q units of output is 02. The government also requires the monopoly to pay a tax oft per unit of output sold. Thus, the monopolist's total cost function is TC = 02 + t0, and the government's total tax revenue is tQ. a. Find the monopoly's prot-maximizing output, as a function of t. [5 marks] b. Write an expression for the total tax revenue that the government collects from the monopolist. [2 marks] c. What level of tax t maximizes the government's tax revenue? [3 marks]