a) Assume the firm operates in the monopoly market in the long run with the demand function P = 100-Q and TC = 640 + 20Q with TC showing the total cost of production, Q and P respectively of output quantity and price. Using the information above, publish

i) Total revenue function (TR)

ii) Marginal revenue (MR)

iii) Marginal cost function (MC)

iv) Determine the level of price and quantity of production that maximizes profit

v) Determine the amount of profit earned by the monopolist