Consider a retail firm with a net profit margin of $3\mathrm{.}89\%3\mathrm{.}89\%,$ a total asset turnover of $1\mathrm{.}711\mathrm{.}71,$ total assets of $$$$44\mathrm{.}644\mathrm{.}6$million$,$ and a book value of equity of $$$$18\mathrm{.}318\mathrm{.}3$ million.

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

b$.$ If the firm increased its net profit margin to $4\mathrm{.}58\%4\mathrm{.}58\%,$ what would be its$$ ROE?

c$.$ If$,$ in$$ addition, the firm increased its revenues by $19\%19\%($maintaining this higher profit margin and without changing its assets or$$ liabilities$),$ what would be its$$ ROE?