Lynda $($age $35)$ is a data analyst and earns $$100,000$ per year. She is an avid adventurer and would like to retire as early as possible. She currently pays total taxes of $40\%($including state, federal, and payroll$).$ She spends about $$40,000$ on required expenses, such as rent, food, etc. Although she spends a lot of money on frivolous items, she has savings of $$200,000.$ Lynda is conservative and wants to assume a $6\%$ annual investment rate of return and inflation of $3\%$ per year. Based on her family history, Lynda expects that she will live to be $95$ years old. Assuming she could live on $$40,000$ per year, how much would she have to save every year to retire at age $50?$