Chapter 6.1, Problem 54E

INVENTORY Loss The biggest cause of inventory loss, called shrinkage, is shoplifting, followed closely by employee theft. In a study conducted by the Center for Retail Research, the nine countries with the highest shrinkage rates, measured in the dollar amount lost for every $\$100$ in sales, are as follows:

Country	India	Russia	Morocco	South Africa	Brazil	Mexico	Thailand	Turkey
Shrinkage rate ($)	$2.38$	$1.74$	$1.72$	$1.71$	$1.69$	$1.64$	$1.64$	$1.63$

Let $A$ denote the set of countries that have a shrinkage rate greater than $1.65, let $B$ be the set of countries that have a shrinkage rate between $1.65 and $1.73, and let $C$ be the set of countries that have a shrinkage rate less than $1.70. Find the following sets:

a. $A$, $B$, and $C$ b. $A\cap B$ c. $A^c\cap B$

d. $A\cap B^c$ e. $A^c\cup B^c$

Source: Center for Retail Research Graphics.