Acme Company's budgeted monthly sales are as follows: April $$440,000,$ May $$520,000,$ June $$380,000,$ and July $$600,000.$ Sales are $70\%$ cash and $30\%$ on account. Acme collects $40\%$ of its accounts receivable in the month of the sale and $60\%$ in the month following the sale. Cost of goods sold is budgeted at $75\%$ of sales and ending inventory is budgeted at $20\%$ of the next month's cost of goods sold. All inventory purchases are paid $10\%$ in the month of purchase and $90\%$ in the following month. What are the budgeted cash collections for the month of June?

$$359,600$

$$405,200$

$$623,600$

$$730,000$

None of the above