Okay Optical, Incorporated $($OOI$),$ began operations in January, selling inexpensive sunglasses to large retailers like Walgreens and other smaller stores. Assume the following transactions occurred during its first six months of operations.

January $1$ Sold merchandise to Walgreens for $$20,000$; the cost of these goods to OOI was $$12,000.$

February $12$ Received payment in full from Walgreens.

March $1$ Sold merchandise to Bravis Pharmaco on account for $$3,000$; the cost of these goods to OOI was $$1,400.$

April $1$ Sold merchandise to Tony$$s Pharmacy on account for $$8,000.$ The cost to OOI was $$4,400.$

May $1$ Sold merchandise to Anjuli Stores on account for $$2,000$; the cost to OOI was $$1,200.$

June $17$ Received $$6,500$ on account from Tony$$s Pharmacy.

Required:

$1.$ Complete the following aged listing of customer accounts at June $30.$

$2.$ Estimate the Allowance for Doubtful Accounts required at June $30$ assuming the following uncollectible rates: one month, $1$ percent; two months, $5$ percent; three months, $20$ percent; more than three months, $40$ percent.

$3-$a$.$ Show how OOI would report its accounts receivable on its June $30$ balance sheet.

$3-$b$.$ What amounts would be reported on an income statement prepared for the six$-$month period ended June $30?$