Assume a merchandising company$$s estimated sales for January, February, and March are $$118,000,$ $$138,000,$ and $$128,000,$ respectively. Its cost of goods sold is always $35\%$ 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

$$49,340$

$$42,700$

$$39,900$

$$48,300$