Happy Valley Homecare Suppliers, Inc. $($HVHS$),$

had $ $15\mathrm{.}9$ million in sales in $2015.$ Its cost of goods sold was

$ $6\mathrm{.}4$ million, and its average inventory balance was

$ $1\mathrm{.}8$ million.

a$.$ Calculate the average number of days inventory outstanding ratios for HVHS

b$.$ The average number of inventory days in the industry is $73$ days. By how much must HVHS reduce its investment in inventory to improve its inventory days to meet the industry?

$($Hint : Use a $365-$day year.$)$