Cha Cruz Enterprises $($this firm sells volleyballs$)$ had an inventory of $$14,500$ at cost and $$23,800$ at retail on June $30.$ During the next $3$ months, they made purchases of $$108,000$ at cost and $$170,000$ at retail, and had Net Sales of $$164,000.$ Use the retail method to estimate the value of inventory at cost on September $30.$

Group of answer choices

$$18,383\mathrm{.}60$

$$18,883\mathrm{.}60$

$$18,388\mathrm{.}60$

$$18,833\mathrm{.}60$