Assume a merchandising company$$s estimated sales for January, February, and March are $$109,000,$ $$129,000,$ and $$119,000,$ respectively. Its cost of goods sold is always $30\%$ of its sales. The company always maintains ending merchandise inventory equal to $20\%$ of next month$$s cost of goods sold. What are the required merchandise purchases for January?

Multiple Choice

$$38,700$

$$33,900$

$$31,500$

$$39,130$