A company has two aging categories for its accounts receivable: accounts that are in good standing

$(0-90$ days old$)$ and accounts that are delinquent $(91-365$ days old$).$ If any portion of the balance

is more than $365$ days old, it is written off as bad debt. After analyzing accounting records, the

following accounts receivable matrix was generated.

The company currently has outstanding balances of $$1,859,612$ in good standing accounts receivable

and $$208,257$ in delinquent accounts receivable.

$($a$)$ Explain why the element in the third row, second column of the accounts receivable matrix is

$0\mathrm{.}00.$

$($b$)$ Determine the estimated proportions of good standing accounts and delinquent accounts that

will be paid off and that will be written off as bad debt. $($Include at least four decimal places

in your answers.$)$

$($c$)$ Using your result from part $($b$),$ estimate how much will be paid off and how much will be

written off.