Ellen is planning her retirement and has $1,000,000 in an annuity that earns 5% NAR compounded monthly. 
a	How many years can she receive benefits if she takes out $6,000 at beginning of each month if she reserves $50,00 to give to each of her two children when she dies?	
b	How much can she withdraw at the beginning of each month if she plans a future lifespan of 30 years if she reserves $50,00 for each of her two children when she dies?