In $2022,$ Iris and her employer each contributed $$4,000$ to her DBPP which will pay her a pension of $1\mathrm{.}6\%$ for every year of service based on the three years of income. Her salary for $2022$ was $$77,000$ and the three best years average $$74,000.$

a$.$ What is Iris$$s pension adjustment for $2022?$ Calculate the benefit earned using all $3$ methods described in class. SHOW ALL YOUR WORK. $(3$ marks$)$

b$.$ How much can she contribute to her RRSP in $2023?(2$ marks$)$

c$.$ If she began collecting her pension in $2023,$ how much would it be if she had $33$ years of service?