Bingo Industries just announced that due to the recently lowered corporate tax rate, it will commit to depositing $5,000 a year into each employees' retirement fund, with the first deposit taking place immediately (today). These deposits will continue for each employee until they retire. David Manzel is planning to retire from Bingo in 15 years, so he expects to receive 16 deposits from Bingo with the last one occurring on his retirement day. After he retires, David would like to withdraw $6,000 per month (at the end of the month) from his retirement fund for the following 25 years (300 withdrawals). David believes the retirement fund will earn a return of 8.4% APR, compounded monthly, on all money invested (including the money deposited by Bingo). a) How much will David need in his account at retirement to fund the withdrawals each month for 25 years? b) How much additional money will he need to put into the account at the end of each month for the next 15 years (180 payments) starting one month from today with the last payment on his retirement day in order to have enough money to make the withdrawals as planned