Kimball Co$.$ wishes to forecast it cash disbursements relating to inventory for the month of March. Estimated purchases of inventory in January, February, and March are $$100,000,120,000,$ and $$150,000,$ respectively. Kimball typical pays for $40$ percent of its inventory purchased in the month of purchase, $50$ percent in the month following purchase, and the remaining $10\%$ in the second month following the purchase.

Given this information, forecasted cash paid for inventory in March is:

$$130,000$

$$150,000$

$$133,000$

$$120,000$