All sales of Aegan Electronics Supply are made on credit. Sales are billed twice monthly, on the $10$th of the month for sales made in the last half of the prior month, and on the $20$th of the month for sales made in the first half of the current month. When payments are made in the month of the sale, the sale qualifies for a $2\%$ discount. The expected collection experience of accounts receivable is as follows:

Within the discount period $80\%$

In the second month $18\%$

Uncollectible $2\%$

Sales for the month of May were $$750,000.$ Forecast sales for the next four months are as follows:

June $ $400,000$

July $450,000$

August $450,000$

September $300,000$

Aegan$$s cost of sales is $75\%$ of revenue. Aegan purchases sufficient merchandise for resale to meet the current month$$s sales and to have an ending inventory of $25\%$ of the next month$$s forecast sales. All purchases are on credit. Aegan pays for one$-$half of a month$$s purchases in the month of purchase and the other half in the month following purchase. All purchases and sales occur evenly throughout the month.

Required:

$1.$ How much will be collected in September? $($Do not round intermediate calculations.$)$

$2.$ What is the amount of expected collections during August for sales made in July? $($Do not round intermediate calculations.$)$

$3.$ How much merchandise should be purchased in July and in August? $($Do not round intermediate calculations.$)$

$4.$ What is the amount of disbursements in August? $($Do not round intermediate calculations.$)$

$5.$ Calculate the net cash flow from sales and purchases in August. $($Do not round intermediate calculations.$)$