Please answer the following $4$ questions based on the information given below.

Last year Pearson Brothers had $$10$ million in operating income before interest and tax $($EBIT$).$ Its depreciation expense was $$3$ million; its interest expense was $$1$ million; and its corporate tax rate was $25\%.$ At year$-$end it had $$16$ million in current assets $($Cash $+\frac{A}{R}+$ Inventory$),$ $$5$ million in account payable, $3$ million in note payable, $2$ million in accruals, and $$20$ million in net plant and equipment. There is no excess cash.

$4.$ What was its net operating profit after taxes $($NOPAT$)?$

$5.$ What was its net operating working capital $($NOWC$)?$

$6.$ What was its total net operating capital $($TNOC$)?$

$7.$ If total net operating capital at the end of the previous year was $26$ million, what was the company's free cash flow $($FCF$)$ for the year?