The following information is from Tejas WindowTint$$s financial records.

Month Sales Purchases

April $ $74,000$ $ $53,000$

May $75,00051,000$

June $68,00039,000$

July $75,00057,000$

Collections from customers are normally $67$ percent in the month of sale, $19$ percent in the month following the sale, and $11$ percent in the second month following the sale. The balance is expected to be uncollectible. All purchases are on account. Management takes full advantage of the $2$ percent discount allowed on purchases paid for by the tenth of the following month. Purchases for August are budgeted at $$63,000,$ and sales for August are forecasted at $$69,000.$ Cash disbursements for expenses are expected to be $$14,800$ for the month of August. The company$$s cash balance on August $1$ was $$29,000.$

Required:

$1.$ Prepare the expected cash collections during August.

$2.$ Prepare the expected cash disbursements during August.

$3.$ Calculate the expected cash balance on August $31.$