You just graduated from college and are starting your new job. You realized the importance to save for the future and have figured out that you will save $$1,000$ per quarter for the next $10$ years; and then increase to $$6,000$ per quarter for the following $4$ years. The amount accumulated at the end of these investments will be your retirement egg nest. You plan to start retirement and start withdrawing quarterly amounts the following quarter $($you will be in retirement for $29$ years$).$ If your required rate of return is $12\%$ compounded quarterly, how much are your quarterly withdrawals?