Amonopolist faces 300 customers divided into 3 different groups: 1. high-demand customers each have a demand function given by qh = 18 - p. 2. medium-demand customers each have a demand function given by qm = 16 - p. 3. low-demand customers each have a demand function given by ql = 14 - p. there are 100 customers of each type (nh=nm=nl=100). the marginal cost of producing (one unit of) the product the firm is selling is constant at mc = $4. there is no fixed cost. 1. determine the optimal two-part tariff for this firm and the resulting profits (it can only select one two-part tariff that is applied to all customers). note: this a difficult exercise. the best way to do this is to create an excel spreadsheet that has columns: p, qh, qm, ql, csh, csm, csl, t(p),nh, nm, nl, tr, tc, profit in each row you can try different values of p (from 4 to 12, use 10 cent increments) and then use the consumer surplus of the low-demand customers to define t(p). 2. do the same for nh=nl=50 and nm=200. explain briefly the difference between the results in (1) and (2). note: here, serving all customers may not be the best strategy.