1. Can you help Sammy decide whether she wants to switch jobs from Long Island to New York City?

(a) Sammy is a 50 years old barista who currently works in a coffee shop at Stony Brook with $30, 000 dollar total earnings every year. Today she got a new offer to work in New York City at a newly opened coffee shop as a manager who is promised to get 40, 000 dollar total earning per year. Assuming Sammy will continue working until 60 years old. e annual expense of living around Stony Brook is about $14, 000, and $18, 000 for New York. If you were to decide for Sammy today. Do you think Sammy should move to New York and take the job? (Given the interest rate is 1%)

(b) If your answer is yes, then how much raise does the coffee shop at Stony Brook should give to Sammy in order to keep her? If your answer is no, then how much money does the coffee at new york should increase in their offer in order to get Sammy to work for them?