$23)$ Onward & Upward LLC had the following budgeted sales for the first half of the current year:

Cash Sales Credit Sales

January $$80,000$ $$300,000$

February $$50,000$ $$200,000$

March $$40,000$ $$135,000$

April $$35,000$ $$120,000$

May $$45,000$ $$160,000$

June $$40,000$ $$140,000$

The company is in the process of preparing a cash budget and must determine the expected cash collections by month. To this end, the following information has been assembled:

Collections on sales:

$60\%$ in month of sale

$30\%$ in month following sale

$10\%$ in second month following sale

The accounts receivable balance on January $1$ of the current year was $$70,000,$ of which $$50,000$ represents uncollected December sales and $$20,000$ represents uncollected November sales. The accounts receivable balance as expected at the end of March will be closest to: $.$

A$)$ $ $54,000$

B$)$ $ $74,000$

C$)$ $ $95,000$

D$)$ $ $135,000$