An academic journal is considering offering a new service which will send articles to readers by email. There are two types of potential users, students and professors. The professors have a demand function DP(pp)=126-2pp and the students have the demand Ds(ps)=93-2ps. The marginal cost of sending articles to users is zero.
From now on, suppose that the journal cannot distinguish between the students and the professors. Further, suppose that the journal knows that half of the population is professors. If it decides to maximize the profit generated from the students by offering 93 articles per student subscription plan (the solution to an earlier question), how many articles will the journal offer for each professor subscription plan?
Suppose that the journal wants to offer qs=54 articles per student subscription plan. How many articles will it want to offer per professor subscription plan?