Nuthatch Corporation began its operations on September $1$ of the current year. Budgeted sales for the first three months of business September, October, and November are $$260,000,$$$375,000,$ and $$400,000,$ respectively. The company expects to sell $30\%$ of its merchandise for cash. Of sales on account, $80\%$ are expected to be collected in the month of the sale and $20\%$ in the month following the sale.

The cash collections expected in October from accounts receivable are estimated to be

a$.$ $$294,500$

b$.$ $$210,000$

c$.$ $$262,500$

d$.$ $$246,400$