First, create assignment $2$ and $($partly$)3$ to get a better idea of how to solve this assignment.Your teacher wins the lottery of $20$ million euros $($in his dreams$).$ He will put this entire amount in his $($previously empty$)$ savings account on December $30$th$,2023.$ The bank applies an interest rate of $0\mathrm{.}6\%$ on this savings account and only looks at the amount that is in the account on December $31$st of the year. The bank then pays this interest at the turn of the year. For now, assume that the teacher wisely does not withdraw anything from his savings account.a$)$ How many euros will be in the savings account on January $1$st $2033?$b$)$ Build a simulation model using a Unit Delay block that simulates a year per simulation second, where the amount in the savings account is displayed on a Display block. The time corresponds to the year $2023.$ Hint: Double$-$click the Display block and change the setting to 'long'.The teacher chooses to live a more luxurious life and withdraws $.$ every time for a year. This means that on $30$ December $2023$ there will only be euros left in the accountc$)$ Adjust your simulation model such that $?$ it is withdrawn every time. What is the amount on the teacher's account on January $1$st$,2033?$ And on January $1,2123?$The teacher begins to get used to the luxury and chooses to withdraw $.,$ but only if the amount in his savings account exceeds $21$ million eurosd$)$ Adjust your simulation model so that the teacher withdraws $?$ for a year if his savings account contains less than $21$ million euros and if his savings account contains more than $21$ million euros. How many euros is now in the teacher's savings account on $1$ January $2123?$e$)$ What is the average amount in the teacher's savings account between December $31$st$,2023$ and January $1$st$,2123?$