Consider a retail firm with a net profit margin of $3\mathrm{.}43\%3\mathrm{.}43\%,$ a total asset turnover of $1\mathrm{.}741\mathrm{.}74,$ total assets of $$$$44\mathrm{.}544\mathrm{.}5$million$,$ and a book value of equity of $$$$18\mathrm{.}418\mathrm{.}4$ million.

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

b$.$ If the firm increased its net profit margin to $4\mathrm{.}08\%4\mathrm{.}08\%,$ what would be its$$ ROE?

c$.$ If$,$ in$$ addition, the firm increased its revenues by $15\%15\%($maintaining this higher profit margin and without changing its assets or$$ liabilities$),$ what would be its$$ ROE?