Assume that you will retire in $30$ years. You plan to be retired for a total of $30$ years. You wish to withdraw theequivalent of $$50,000$ per year $($in today's dollars$)$ from your retirement fund each year that you are retired $($assumethat there will not be any adjustments for inflation during your retirement $--$ You will withdraw the same dollaramount every year that you are retired$).$ The expected inflation rate for the next $30$ years is $3\%.$ You can earn $10\%$on your investments prior to retirement and you plan to earn $7\%$ on your investments during retirement. Howmuch do you need to invest each month $($beginning right now$)$ in order to be able to afford to retire?