Beginning inventory: $10$ units @ $$10$ per unit, First purchase: $35$ units @ $$11$ per unit, Second purchase: $40$ units @ $$12$ per unit, Third purchase:$15$ units @ $$13$ per unit. If $83$ units are sold, the value of the ending inventory under periodic FIFO would be $?$

Group of answer choices

$$177\mathrm{.}00$

$$905\mathrm{.}00$

$$219\mathrm{.}00$

$$204\mathrm{.}00$