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: QUARTER $1($JANUARY THROUGH MARCH$)$QUARTER $2($APRIL THROUGH JUNE$)$QUARTER $3($JULY THROUGH SEPTEMBER$)$QUARTER $4($OCTOBER THROUGH DECEMBER$)$ All amounts in millions of U$.$S$.$ dollarsSales $($total quarter$)$: United states$354358530378$Canada$98148123153$Europe$65404421$Cost of goods sold $($total quarter$)362383493393$Raw materials at the Louisville plant $($end$-$of$-$quarter$)67456984$Work$-$in$-$process and finished goods at the Louisville plant $($end$-$of quarter$)183199127239$Distribution center inventory $($end$-$of$-$quarter$)$: United states$46284659$Canada$17162416$Europe$5657$