You have the following balance sheet information:

$\backslash$table$[[,2022,,],[,$Beginning,Ending,Average,$],[$Inventory$,$$$2,900,$$$3,750,$$$3,325,],[$Accounts Receivable,$$1,300,$$$1,500,$$$1,400,],[$Accounts Payable,$$975,$$$1,100,$$$1,038,]]$

Suppose further that sales during the year are $$13,400($of which $75\%$ is sold on credit$)$ and the cost of goods sold is $$8088($of which $85\%$ is purchased via an accounts payable$).$

Calculate the inventory cycle $($in days$).$