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A monopolist has 3 different types of customers, types /, M and L with demands given by 9# = 18 - 0.5p 9M = 12 - 0.5p 91 = 8 - 0.5p. Assume that there are 4 persons of type L, 2 persons of type M and one person of type H. The constant marginal cost of production is $2. (a) What is the willingness to pay (WTP) for each quantity for each type? ( b ) Suppose the monopolist wants to create two quantity-tariff bundles, (qA, t) and (qs, to) where the A bundle is targeted to both type H and M consumers, while the B bundle is targeted towards L- type customers. Calculate the profit maximizing bundles (qa*, *) and (qs*, Is*) when types are unverifiable (incentive compatible bundles). Be sure to write the profit function and identify all constraints faced by the firm. (c) What are the three profit maximizing bundles if it offers three different incentive compatible bundles, one intended for each type? Let these be (qu, tz) and (qu, tw) and (qu, tw). Be sure to write the profit function and identify all constraints faced by the firm