Agnes is $40$ years old. She wants to know how much she should be saving each year for retirement. Below are the specifics:

She wants to retire at $60$ and expects to live until she$$s $90$

She currently makes $$55,000$ and expects that to increase each year with inflation. She thinks she will need about $70\%$ of that to live on in retirement.

She has $$41,500$ in an RRSP

Her investments are earning a real rate of $7\%$ annual return before retirement.

When she retires she will move her investments into a more conservative portfolio and earn $3\%$ per year.

She expects that CPP will be about $$12,000$ per year in today's dollars. CPP amount is inflation adjusted. a$.$ How much does she need by the time she retires $($in real dollars$)?($Omit the $"$$$"$ sign in your response.$)$ B$.$How much will she have by the time she retires if no additional saving is made $($in real dollars$)?$ C$.$ How much will she need to save at the end of each year in order to make up the shortfall $($in real dollars$)?$