A firm currently has a $29\mathrm{.}3-$day cash cycle. Assume the firm changes its operations such that it decreases its receivables period by $2\mathrm{.}7$ days, increases its inventory period by $1\mathrm{.}4$ days, and decreases its payables period by $2\mathrm{.}4$ days. What will the length of the cash cycle be after these changes?

Multiple Choice

$35\mathrm{.}6$ days

$32\mathrm{.}5$ days

$33\mathrm{.}2$ days

$39\mathrm{.}1$ days

$30\mathrm{.}4$ days