The theme park admission pricing problem we discussed in class was based on the assumption that admission fees are the only source of revenue for the park. However, the theme park operator determines that visitors to the theme park spend an average of $12 per person on concessions, generating an average concession margin of $5 per person.

1. Under the same assumptions about capacity and demand, what is the single-admission price the theme park should charge to maximize total weekly margin (admission price plus concession margin)?
2. What are the individual daily prices the operator should charge under a variable-pricing policy, assuming that daily demands are independent of each other?
3. What is the impact on total weekly admissions?
4. What is the impact on total weekly margin from including concessions in the optimization, relative to optimizing prices on the basis of admission revenue alone?

	Problem Input
Day of Week	D	m
Sunday	3100	62
Monday	1500	50
Tuesday	1400	40
Wednesday	1510	42
Thursday	2000	52.6
Friday	2500	55.6
Saturday	3300	60

Note: in the base case, the theme park operator still gains concession revenue even if it is not explicitly included in the optimization.