Dinah's portfolio consists of a $50\%$ equity index fund and a $50\%$ fixed income index fund. The portfolio will be reallocated using the constant weighting method. More details are shown below:

Fund Shares NAV Total Value

Equity Index $2,000$ $$25\mathrm{.}00$ $$50,000$

Fixed$-$Income Index $1,250$ $$40\mathrm{.}00$ $$50,000$

Dinah should do which of the following if the price of the Equity Fund changes to $$20\mathrm{.}00$ and the price of the Fixed Income Fund changes to $$30\mathrm{.}40?$

a$.$ Sell $50$ shares of Equity and purchase $33$ shares of Fixed Income.

b$.$ Sell $33$ shares of Equity and purchase $50$ shares of Fixed Income.

c$.$ Sell $46$ shares of Fixed Income and purchase $33$ shares of Equity.

d$.$ Sell $33$ shares of Fixed Income and purchase $46$ shares of Equity.