E$6-4($Static$)$ Inferring Shrinkage Using a Perpetual Inventory System $[$LO $6-2]$

In the year ended February $2,2019,$ Macy's reported cost of goods sold $($before shrinkage$)$ of $$15\mathrm{.}2$ billion; February $2,2019,$ inventory

of $$5\mathrm{.}3$ billion; and ending inventory for the previous year $($February $3,2018)$ of $$5\mathrm{.}2$ billion.

Required:

If the cost of inventory purchases was $$15\mathrm{.}5$ billion, what was the cost of shrinkage during the year ended February $2,2019?($Enter

your answer in billions rounded to $1$ decimal place.$)$