2) Microsystems Henrietta Fowler publishes Metropoiiton Chicken, a magazine devoted to raising poultrv in urban environments. She has conducted extensive surveys from potential readers and potential advertisers. The amount that advertisers are willing to pay for an ad in Metropoiiton Chicken is proportional to the number of subscribers. She estimates that if she charges advertisers a rate of PA cents persubscriber for each ad, she could attract QA = 80 PA advertisements. Suppose that the cost of printing and distributing an advertisement is negligible. The number of subscribers to Metropoiiton Chicken is determined by the demand equation Qg = 4000 P; where P; is the subscription price measured in cents. The cost of printing, handling, and mailing a copy of Metropoiiton Chicken is 400 cents per subscriber. (a) Write an expression for Metropolitan Chicken's total revenue from advertising as a function of the variables QA and (25. {Remember that total revenue is revenue per reader times the number of readers.) Solve for the number of ads QAand the price charged persubscriber PA that maximizes her advertising revenue. (bl Does this answer depend on the number of subscriptions sold? How much extra advertising revenue [in cents) would Henrietta get if she added one more subscriber? (c) Write an expression for Metropolitan Chicken's profits from subscriptions (total subscription revenue minus costs of printing, handling, and mailing to subscribers) as a function of Q5. If Henrietta were to choose Q; to maximize subscription revenue, how many subscriptions would she sell and at what price? (d) Suppose Henrietta consider total profit from advertising and subscriptions. Write an expression for Henrietta's total profit as a function ofthe two variables QA and QS. What quantities QA and Q5 should she choose in order to maximize profits and how do these differ from parts b) and c}? Can you explain the intuition behind this