A firm is looking at a new project that costs $$100,000$ to start and has estimated the following future cash flows:Year $1$: CF $=$ $$60,000$Year $2$: CF $=$ $$70,000$Year $3$: CF $=$ $$90,000$The firm's required return on assets of this risk is $10\%.$ What is the profitability index?

$1\mathrm{.}9$

$1\mathrm{.}7$

$1\mathrm{.}8$

$1\mathrm{.}6$