Starting at age $65,$ Charlene would like to withdraw $$25000$ from her non$-$registered investment portfolio to fund additional lifestyle expenses during retirement. Her annual withdrawls, which will be made at the beginning of each year, should factor in taxes and should keep pace with an inflation rate of $2\mathrm{.}4\%.$ If Chatlenes combined marginal rate during retirement is $43\%,$ she can earn a nominal rate of return of $7\mathrm{.}8\%$on her non registred savings and her life expectancy is age $90,$ how much will she need to accumalate by age $65$ to meet her goal?

a$)488198$

b$)497953$

c$)601571$

d$)$ $$633294$