You have recently been hired to improve the performance of Multiplex Corporation, which has been experiencing a severe cash shortage. As one part of your analysis, you want to determine the firm$$s cash conversion cycle. Using the following information and a $365-$day year,

$($a$)$ what is your estimate of the firm$$s current cash conversion cycle?

Current inventory $=$ $$241,000\mathrm{.}00$

$$ Annual sales $=$ $$1,200,000\mathrm{.}00$

$$ Accounts receivable $=$ $$300,000\mathrm{.}00$

$$ Accounts payable $=$ $$245,000\mathrm{.}00$

$$ Total annual purchases $=$ $$600,000\mathrm{.}00$

$$ Purchases credit terms: net $30$ days.

$$ Receivables credit terms: net $50$ days.