Koontz Company uses the perpetual inventory method. On January $1,$ Year $1,$ the company's first day of operations, Koontz purchased $400$ units of inventory that cost $$7\mathrm{.}50$ each. On January $10,$ Year $1,$ the company purchased an additional $600$ units of inventory that cost $$9\mathrm{.}00$ each. If Koontz uses a weighted average cost flow method and sells $550$ units of inventory, the amount of inventory appearing on balance sheet following the sale will be approximately:

A$.$ $$3,780.$

B$.$ $$4,738.$

C$.$ $$3,080.$

D$.$ $$3,713.$