$3.)$ A $67-$year$-$old woman worked as a vice president of a company. She had a two$-$year employment contract that permitted herz to resign at any time by doing so in writing and with thirty days advance notice. Under her contract, the company could terminate her employment either for cause $($without severance pay$)$ or without cause $($but with prior notice and severance pay$).$ She had a strained relationship with the senior vice president to whom she reported. The senior VP brought in a new sales director $($a male in his forties$),$ removing that function from the woman$$s job. She was later told that the senior VP wanted to meet with her at a trade show that the two were attending to discuss his concerns about her performance. When the woman showed up for the meeting, the senior VP said that he didn$$t have any time for her then, but might be able to find ten minutes or so later in the week. Irked by the dismissive treatment, the woman asked, $$Do you want me to resign?$$ The senior VP said, $$Oh$,$ no$,$ no$,$ we want you here for a long time to come.$$ But as the woman started to walk away, he said, $$I think you should think about that.$$ Two coworkers with whom the woman spoke with afterward $($one of them was the new sales director$)$ said that the woman told them she had $$resigned$$ and they shared this information with the senior VP$.$ However, the woman did not submit a letter of resignation and the senior VP did not ask her further questions about her status. Instead, the woman left the trade show and then spent the next week away on a previously scheduled vacation. When she returned, she received a letter from the company formally $$accepting her resignation.$$ She sued for age discrimination, breach of contract, and other claims related to her termination. The company says that she resigned. What should the court decide? Why?