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8. MONOPOLY (10 POINTS) The inverse market demand curve for widgets is 33(le = 225 139a where p is the price of widgets and yd is the quantity of widgets demanded. Widgets are produced by a monopolist that has the following total cost function C (ya) = 5y: + y: where ys is the number of widgets produced. (a) (5 POINTS) What will be the equilibrium price and quantity of widgets if the monopolist maxi- mizes its prots? (b) (2 POINTS) What would the equilibrium prioe and quantity be in this market if the market was perfectly competitive instead of monopolistic? (c) (3 POINTS) Calculate the deadweight loss of monopoly in this market