Watson Oil recently reported $($in millions$)$ $$8,250$ of sales, $$5,300$ of operating costs other than depreciation, and $$600$ of depreciation. The company had $$3,200$ of outstanding bonds that carry a $5\%$ interest rate, and its federal$-$plus$-$state income tax rate was $25\%.$ In order to sustain its operations and thus generate future sales and cash flows, the firm was required to make $$1,450$ of capital expenditures on new fixed assets and to invest $$250$ in net operating working capital. By how much did the firm's net income exceed its free cash flow?

a$.$ $$980\mathrm{.}00$ million

b$.$ $$730\mathrm{.}00$ million

c$.$ $$470\mathrm{.}00$ million

d$.$ $$552\mathrm{.}50$ million

e$.$ $$392\mathrm{.}50$ million