Kim Convenience store prepared the following sales budget:

Month

Budgeted Sales

March

$$6,000$

April

$$13,000$

May

$$12,000$

June

$$14,000$

The expected gross profit rate is $40\%$ and the inventory at the end of February was $$10,000.$ Desired inventory levels at the end of the month are $25\%$ of the next month's cost of goods sold.

What is the desired beginning inventory on June $1$ at Kim$$s$?$

$$8,400$

$$1,120$

$$1,680$

$$2,100$