George is $40$ yrs old and has never married. He wants to retire at age $62$ with an $80\%$ wage replacement ratio. George currently earns

$$100,000,$ as an employee and has managed to save $$100,000$ towards his retirement goal. He is currently saving $$5000$ per year in his $401k$

plan. His employer's plan calls for a $50\%$ match contribution up to an employee deferral of $6\%.$

George's primary goal if to retire at age $62$ with an $80\%$ wage replacement ratio including social security projected to be $$30,000$ in today's

dollars at a normal retirement age of $67.$ He wants to plan for a life expectancy to age $95.$

$($General inflation is expected to average $3\%$ annually for the foreseeable future.

George's expected investment portfolio rate of return is $8\mathrm{.}5\%)$

a$.$ What is the total deferral into the $401K$ plan by George and his Employer in the current year? $($ annual contribution amount in $401K)$

b$.$ How much should George accumulate at the time of retirement to fulfill his retirement goal $(80\%$ wage replacement ratio, take into account

social security benefit for this calculation$)$

d$.$ How much should George save additionally$($ apart from what is contributed every year in $401K)$ in order to fulfill his retirement goal?