Based on accounting information provided below, $($a$)$ apply the $3-$factor Du Pont model to calculate the ROE for the firm. $($b$)$ If the industry average profit margin is roughly $15\%,$ the average asset turnover is $1\mathrm{.}5,$ and the average ROE is $20\%,$ comment on your calculated results. $(10$ marks$)$Total sales$$4,500,000$Earning before I and T$$1,250,000$Net income$$270,000$Total assets$$5,000,000$Total liabilities$$4,500,000$Total equity$$500,000$Dividend paid out$$100,000$