a$.$ Assuming a $3\%$ per year real earnings rate for the fixed$-$income fund and $6\%$ per year for common stocks, what will be Melanie's expected accumulation in each account at age $65?($Do not round time value factors and intermediate calculations. Round your final answers to the nearest dollar amount. Omit the $"$$$"$ sign in your response.$)$

Fixed income fund $

Common stock fund $

b$.$ What will be the expected real retirement annuity from each account, assuming these same real earnings rates? $($Do not round time value factors and intermediate calculations. Round your final answers to the nearest dollar amount. Omit the $"$$$"$ sign in your response.$)$

Fixed income fund $

Common stock fund $

c$.$ If Melanie wanted a retirement annuity of $$30,000$ per year from the fixed$-$income fund, by how much would she have to increase her annual contributions? $($Do not round time value factors and intermediate calculations. Round your final answer to the nearest dollar amount. Omit the $"$$$"$ sign in your response.$)$

Increase his annual contributions by $