In $2023,$ Liggett Ltd produced and sold $250,000$ units of home accessories and the sales revenue arising was $1\mathrm{.}2$m$.$ The variable costs of production were $2\mathrm{.}2$ each. It made a loss of $150,000.$ Assuming there is no change in any costs or revenues, how many home accessories must be made and sold to make a profit of $200,000?$

$223,450$

$384,615$

$250,000$

$307,692$