Somers Corporation has a weighted$-$average process costing system. They add material at the start of the production process. At the beginning of the year, the Somers Corpor units and had a beginning inventory of $5,000$ units that were $75\%$ complete as to conversion costs. If the Somers Corporation transferred out $12,250$ units, how many units we inventory?

$5,500$

$6,750$

$3,000$