Mikhail Corporation has the following sales forecasts for the first three months of the current year:

Month Sales

January $$36,000$

February $24,000$

March $40,000$

Sixty$-$five percent of sales are collected in the month of the sale and the remainder are collected in the following month. Mikhail will borrow from its bank to maintain its minimum cash balance.

Accounts receivable balance $($January $1)$ $$16,000$

Cash balance $($January $1)12,000$

Minimum cash balance needed $20,000$

What is the cash balance at the end of January, assuming that cash is received only from customers and that $$48,000$ is paid out during January?

a$.$ $$19,400$

b$.$ $$20,000$

c$.$ $$21,000$

d$.$ $$23,400$