Linear Technology had sales $($all on credit$)$ of $$36$ million and a gross profit margin of $30\%$ last year. If Linear Technology's inventory averaged $$3\mathrm{.}9$ million, and its accounts receivable were $$5\mathrm{.}0$ million, what was the length of its operating cycle?

Group of answer choices

$107\mathrm{.}2$ days

$128\mathrm{.}9$ days

$90\mathrm{.}2$ days

$111\mathrm{.}9$ days