Jenny wants a monthly retirement income of $12,000. She will retire on her birthday at age 70 with a $3,000 per month social security monthly benefit and a $4000 per month defined benefit pension. She expects to die on her birthday at age 95 and would like to leave $75,000 to each of her 6 children. She expects a 7. 9% annual return on her roth 401k. She expects a 2. 6% annual rate of inflation. How much will she need to have saved to invest when she retires?