Industry demand is characterized by the function: P(Q) = 100-4Q, and the total costfunction of the monopolist company is: TC = 50+20Q.a) Calculate the equilibrium parameters in this market for the case when the monopolist (simple monopoly) maximizes profit. Calculate the amount of profit in equilibrium.b) Calculate the equilibrium parameters in this market for the case when the monopolist maximizes revenue, provided that the profit it receives should not be lower than = 334. Compare theequilibrium parameters obtained with those when the monopolist maximized profits.c) The state imposes a payable tax of 8 monetary units per unit of products sold. Find new equilibrium parameters, as well as the amount of profit received by the monopolist. Compare the size of the increase in market price with the size of the tax. Compare the size of tax revenues of the state with the amount by which the monopolist's profits have decreased.d) Assume that the state introduces a lump-sum tax (a tax with a fixed total amount) in the same size that the state received in the amount from the commodity tax in the previous case. Which of the twotypes of tax would be preferable for a monopolist?e) Which of the two types of tax would be preferable for consumers?d) At what value of the lump-sum tax will the firm leave the industry?