Consider a retail firm with a net profit margin of $3\mathrm{.}86\%3\mathrm{.}86\%,$ a total asset turnover of $1\mathrm{.}761\mathrm{.}76,$ total assets of $$$$44\mathrm{.}444\mathrm{.}4$million$,$ and a book value of equity of $$$$18\mathrm{.}518\mathrm{.}5$ million.

a$.$ What is the$$ firm's current$$ ROE?

b$.$ If the firm increased its net profit margin to $4\mathrm{.}39\%4\mathrm{.}39\%,$ what would be its$$ ROE?

c$.$ If$,$ in$$ addition, the firm increased its revenues by $17\%17\%($maintaining this higher profit margin and without changing its assets or$$ liabilities$),$ what would be its$$ ROE?