Suppose that the demand function for a monopolist is p= 100 – 0.01x (in dollars) and the cost function is C(x) = 50x + 10 000. a) Find the value of x that maximize the profit and determine the corresponding price and total profit for this level of production. b) If the government has imposed an excise tax of $10 per unit sold, find the value of r that maximize the profit and determine the corresponding price and total profit for this level of production