274 BUSINESS ANALYTICS MODULE A DE C I S I O N – MA K I N G TO O L S
CASE STUDY
EMV1 > EMV2, it is better not to hire ProGuard.
2. If we look at the calculations in Question 1 and replace d for
$25,000, c for $7,200, p1 for 30%, and p2 for 3%, we conclude
that EMV2 will be greater than EMV1 when the following expres-
sion holds: – c – dp2 > – dp1, which, after some algebraic manipu-
7,200/25,000 28.8%. Interestingly, if p1 were already below
28.8% to begin with, even if the security company were perfect
(i.e., p2 = 0%), it would still be better not to hire them given the
projected expenses.
3. As usual, good decisions do not guarantee good outcomes.
It may still be the case that CCI’s warehouse will get burglarized,
requiring CCI to spend $25,000. However, given the
circumstances and risks CCI is facing, not hiring security is still
the best decision to make.