thanks for helping

7. A museum asked you to help them price their tickets. They have two types of consumers: students and non-students. The inverse demand from students is Ps = 10 - Qs. The demand from non-students is PMS = 20 -Q S- The museum has a marginal cost of zero. a) Suppose the museum can charge different prices to students and non- students. What prices should it charge to maximise profits? b) What are the demand elasticities in each market at the optimal prices