Consider a coffee shop on campus that sells to both students…

Consider a coffee shop on campus that sells to both students and faculty. The coffee shop’s cost function is C(Q) =.2 + .2 * Q.Right before exams, students really need coffee, and have demand PS(Q) = 8.2 – .5 * Q; however, faculty do not need as much coffee until after the exam, so their demand is PF(Q) = 4.6 – .4 * Q.  Suppose there are 10 students and 2 faculty members.How much producer surplus could the coffee shop get if it is able to charge personalized prices? (Hint: answer is not an integer).