Mr$.$ Fritz Jacobs set the tennis record in a game at JSU. For this achievement, he gets to choose between a $$750$ cash prize paid immediately or $$90$ per yearfor $10$ years. He already has enough money for now so he decided on the $10$ annual installments. However, he is considering the following two investment options:

a$.$ Save the winnings for the first $4$ years and then spend every cent of the winnings in the remaining $6$ years he collects.

b$.$ Spend every dime for the first $4$ years then save the remaining $6$ years of winning collected.

i$).$ Draw the cash flow diagram for each option.

ii$).$ Also, if Community Bank is advertising that they can give you a savings interest at $8\%$ per year, how much would each option payout after the installments end? $(10$ pts$)$