Sandra stopped working, and stopped contributing to the Canada Pension Plan, on her $65$th birthday. At age $65,$ she applied for and began to receive her CPP retirement income. Her birthday falls on July $1$st$,1953.$ She has worked in Canada since the age of $18.$ Her total adjusted pensionable earnings $($TAPE$)$ and her adjusted TAPE are $$1,734,691\mathrm{.}14$ and $$1,570,151\mathrm{.}43,$ respectively.

a$.$ What is her CPP retirement pension? SHOW YOUR WORK.

b$.$ For how many months will she receive retroactive payments?

c$.$ On January $1$st$,2019,$ Sandra returned to the workforce for one year. She will earn an annual income of $$30,000.$ What is her monthly PRB for $2020?$

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