A firm is currently operating as a single-price monopolist that faces a market demand curve P(Q) = 198 %Q and total cost curve equal to TC(Q) = 10, 500 + 32Q, with constant MC equal to MC(Q) = 32 for all units produced. Part (a): How much output does the firm produce and at what price is each unit sold for? Part (b): Calculate the firm's profit. Recently, the firm realized there are actually two distinct groups of consumers that purchase their product, with the following demand functions: P(ql) = 242 - 11 P((b) = 176 $12 Their total and marginal cost curves have not changed. If the firm wanted to successfully practice third-degree price discrimination: Part (c): How many units of output would they sell to group 1 and how much will each consumer in group 1 pay? Part (d): How many units of output would they sell to group 2 and how much will each consumer in group 2 pay? Part (e): How much profit is earned by the firm when they practice thirddegree price discrimination? Part (f): How much did profits rise by when the firm practiced price discrimination