$1.$ Suppose you plan to save $$8,000$ per year for the $35$ years you are working. Assume you begin saving in year $1.$ In addition to the amount you save each year, you expect to sell your house for $$600,000$ in year $32$ and deposit this money into your account. How much can you withdraw in equal amounts each year for the $30$ years you are retired? The interest rate you will earn during the $35$ years you are saving is $7\%.$ Once you retire, you$$ll reduce the amount of stock you have in your portfolio, and you will now earn a return of $5\%$ during the $30$ years you are retired. Assume you begin saving in one year, and your first withdrawal is in year $36.$ show all work.