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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 $$246,000,$ $$304,000,$ and $$410,000,$ 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 September from accounts receivable are estimated to be

a$.$ $$172,200$

b$.$ $$137,760$

c$.$ $$295,200$

d$.$ $$246,000$