Several years ago, a man won $$27$ million in the state lottery. To pay off the winner, the state planned to make an initial $$1$

million payment today followed by equal annual payments of $$1\mathrm{.}3$ million at the end of each year for the next $20$ years. Just

before receiving any money, the man offered to sell the winning ticket back to the state for a one$-$time immediate payment of

$$14\mathrm{.}4$ million.

If the state uses a $6\%/$year MARR and a future worth analysis, should it accept the man's offer?

What is the future worth of the state's original $20-$year plan? $

million

What is the future worth of the man's one$-$time offer? $

million

Carry all interim calculations to $5$ decimal places and then round your final answer to the nearest whole number $($in millions of dollars$).$

The tolerance is $+-2.$