You have been hired as a benefit consultant by Jean Honore, the owner of Crane Angels. She wants to establish a retirement plan for herself and her $3$ employees. Jean has provided the following information:

$-$ The retirement plan is based upon salary for the last year before retirement and will provide $50\%$ of Jeans last$-$year annual salary and $40\%$ of the last$-$year salary for each employee.

$-$ The plan will make annual payments at the beginning of each year for $20$ years from the date of retirement.

$-$ Jean wishes to fund the plan by making $15$ annual deposits beginning January $1,2025.$

$-$ Invested funds will earn $11\%$ compounding annually.

Information about plan participants $($employees and Jean$)$ as of January $1,2025$ is as follows:

$$ Jean Honore $($owner$)$: Current annual salary of $$50,880$ with an estimated retirement date of January $1,2050.$

$$ Colin Davis $($flow manager$)$: Current annual salary of $$38,550$ with an estimated retirement date of January $1,2055$

$$ Anita Baker $($Sales clerk$)$: Current annual salary of $$20,970$ with an estimated retirement date of January $1,2045.$

$$ Gavin Bryars $($Part$-$time bookkeeper$)$: Current annual salary of $$16,720$ with an estimated retirement date of January $1,2040$

It is determined that the annual retirement benefit for each employee is the following:

$-$ Jean Honore$-$ $$65,211$

$-$ Colin Davis$-$ $$48,090$

$-$ Anita Baker$-$ $$17,672$

$-$ Gavin Bryars$-$ $$11,582$

With all the above information solve the following two questions:

$1.)$ What amount must be on deposit at the end of $15$ years to ensure that all the benefits will be paid? $($round factor values to $5$ decimal places and the final answer to $0$ decimal places$)$

$2.)$ What is the amount of each annual deposit Jean has to make to the retirement plan? $($Round factor values to $5$ decimal places and final answer to $0$ decimal places$)$