(a)After this years birthday, Dave set two objectives below and started saving money. Objective 1) Dave would like to retire 10 years from now with retirement income of$10,000 per month for 20 years, with the first payment received 10 years and 1 month from now. Objective 2) If Dave passes on at the end of 10 years of withdrawals, he would like to leave an inheritance of $2,000,000 to his cousin Jay. Based on the market information,it is presumed that Dave can earn 12% before he retires and 8% after he retires. All interest rates are APRs with monthly compounding. How much will he have to save per month in the coming 10 years?