Theo, a wealthy podiatrist and well$-$known philanthropist, promises her alma mater that she will donate at least $$1$ million to the school each year for the next five years. The school, with Theo's knowledge, begins plans to build a new legal studies building, and obtains bank financing, along with architectural plans. At the groundbreaking ceremony, Theo announces that she has renounced all worldly things and has given all of her money to a local charity. Theo:

a$)$ is free to do whatever she wishes with her worldly goods.

b$)$ may be liable to the school under a theory of promissory estoppel.

c$)$ may be liable to the school under a theory of breach of contract.

d$)$ Sill only be required to pay the first year's gift to the school.