Woodpecker Co$.$ has $$296,000$ in accounts receivable on January $1.$ Budgeted sales for January are $$820,000.$ Woodpecker Co$.$ expects to sell $20\%$ of its merchandise for cash. Of the remaining $80\%$ of sales on account, $75\%$ are expected to be collected in the month of sale and the remainder the following month. The January cash collections from sales are

$$ a$.$ $$571,200$

b$.$ $$952,000$

c$.$ $$761,600$

d$.$ $$1,248,000$