Phoebe owns $200$ shares in Optus Inc. Optus has $50$ million shares outstanding that are trading at $$3$ each. Due to a liquidity crisis, Optus decides to place $15$ million shares to a group of hedge funds at $$2$ each. How much money did Phoebe lose due to this private placement, based only on the information above? $($round to the nearest $2$ digits$)$

Group of answer choices

$$46\mathrm{.}00$

$$40\mathrm{.}00$

$$42\mathrm{.}00$

$$52\mathrm{.}00$

None of the other answers are correct.