Hello, please answer parts 1-5 for this question.

Suppose a consumer who has to decide if she wants to go to college or not. If she does NOT go, she will have low income in both periods,1,2. If she attends college, she will get a higher wage in the second period

2> 2. In the first period, she will have NO income (1= 0) and, in addition, she will have to pay tuitionin the first period. She has increasing and concave preferences over consumption in the two periods (1and2)

Assuming she does go to school:

1. Write down the dynamic budget constraints
2. Derive the intertemporal budget constraint
3. In your previous graph, draw the new budget constraint and the new optimal consumption point.
4. Is it good for her to go to school? Under what conditions will she be better off by going to school than not?Explain.
5. If the consumer is able to take out loans in the first period, to be paid back with interest in the second, it is optimal for her to go to school. Discuss the validity of this statement.