please do not use AI: Poutine Cheez Company has yearly sales of $

$410$

$,$

$000$

$$and an average collection period of

$35$

$$days$.$ A factoring company is offering a

$35$

$-$

day receivables loan equal to

$84$

$\%$

$$of the accounts receivable at

$6\mathrm{.}5$

$\%$

$$along with a commission fee of

$0\mathrm{.}75$

$\%$

$$of the receivables. The firm estimates that by taking the offer, it could save $

$150$

$$in collection costs and

$0\mathrm{.}5$

$\%$

$$in bad debt costs, as a percentage of sales. What is the annual savings

$($

in $ terms

$)$

$$of the arrangement with Poutine Cheez?

$($

Do not enter the $ sign. If your answer is $

$1$

$,$

$234\mathrm{.}56$

$,$

$$then enter

$1234\mathrm{.}56)$