Problem $13-17($Algo$)$

U$.$S$.$ Airfilter has hired you as a supply chain consultant. The company makes air filters for residential heating and air$-$conditioning systems. These filters are made in a single plant located in Louisville, Kentucky, in the United States. They are distributed to retailers through wholesale centers in $100$ locations in the United States, Canada, and Europe. You have collected the following data relating to the value of inventory in the U$.$S$.$ Airfilter supply chain:

$\backslash$table$[[,\backslash$table$[[$QUARTER $1],[($JANUARY$],[$THROUGH$],[$MARCH$)],[$All$]],\backslash$table$[[$QUARTER $2],[($APRIL$],[$THROUGH JUNE$)],[$mounts in mill$]],\backslash$table$[[$QUARTER $3],[($JULY THROUGH$],[$SEPTEMBER$)],[$ions of U$.$S$.$ d$]],\backslash$table$[[$QUARTER $4],[($OCTOBER$],[$THROUGH$],[$DECEMBER$)],[$llars$]]],[$All amounts in millions of U$.$S$.$ dollars$],[$United states,$362,396,500,532],[$Canada$,118,128,111,148],[$Europe$,32,37,34,18],[$Cost of goods sold $($total quarter$),379,416,482,525],[\backslash$table$[[$Raw materials at the Louisville plant $($end$-],[$of$-$quarter$)]],80,69,84,89],[\backslash$table$[[$Work$-$in$-$process and finished goods at the$],[$Louisville plant $($end$-$of quarter$)]],166,167,125,302],[\backslash$table$[[$Distribution center inventory $($end$-$of$-],[$quarter$)$:$]]],[\backslash$table$[[$United states$],[$Canada$]],\backslash$table$[[35],[12]],\backslash$table$[[42],[19]],\backslash$table$[[50],[20]],\backslash$table$[[49],[21]]],[$Europe$,6,5,13,\backslash$table$[[21],[6]]]]$

What is the average inventory turnover for the firm?

Note: Round your answer to $3$ decimal places.

Average inventory turnover