In $2023,$ Iris and her employer each contributed $$5,000$ to her DBPP which will pay her a pension of $1\mathrm{.}6\%$ for every year of service based on the average of her three best years of income. Her salary for $2023$ was $$77,000$ and the average of her best three best years of income is $$74,000.$

a$.$ What is Iris$$s pension adjustment for $2023?$ Calculate the benefit earned using all $3$ methods described in class. Please explain step by step

b$.$ How much can she contribute to her RRSP in $2024?$

c$.$ If she began collecting her pension in $2024,$ how much would it be if she had $33$ years of service?