Black Betty Inc.$\text{'}$s sales of bonnets are $10\%$ cash and $90\%$ on credit. Previous collections history shows that credit sales are collected as follows:

$25\%$ in the month of sale $70\%$ in the month following sale $5\%$ in the second month following sale

In April, sales were $$39,000$ and May sales were $$43,000.$

Projected sales for June are $4,000$ bonnets at $$10$ each.

Projected sales for July are $4,700$ bonnets at $$11$ each.

The cash balance at June $1$ was $$6,000.$

Betty expects to purchase $$23,000$ of materials in May and $$20,000$ of materials in June. Three$-$quarters of all purchases are paid for in the month of purchase, and the other one$-$quarter are paid for in the month following the month of purchase. All other fixed expenses are $$5,670$ per month and are paid in the month of purchase.

Prepare the cash budget for the month of June.