In $2017,$ BMC Software generated $$465$M of operating income $($earnings before interest and taxes$)$ and $$295$M of net income from $$2,200$M of sales. Over the next two years $(2018$ and $2019),$ the firm is projecting $10\%$ growth in operating income and $5\%$ growth in depreciation expense. Beginning in $2020,$ BMC estimates that free cash flows will grow $2\%.$ Assume the firm$$s effective tax rate is $30\%,$ weighted average cost of capital is $9\%,$ and number of shares outstanding is $146$M$.$ Depreciation expense for $2017$ was $$105$M while capital expenditures were $$55$M$.$ Capital expenditures are expected to remain constant over the next $5$ years. BMC expects working capital needs to increase by $$20$M per year. Lastly, the firm has $$250$M in cash and cash equilavents and $$750$M of interest bearing debt.

What is the free cash flow projection for $2019?$

Group of answer choices

$$434\mathrm{.}62$M

$$375\mathrm{.}50$M

$$423\mathrm{.}30$M

$$474\mathrm{.}62$M