Answer: 18.49
Explanation:
The amount of safety stock that the company should hold to have a Service Level of 99.0% will be calculated thus:
The following information can be depicted from the question:
Service level = 99%, corresponding z value = 2.33
Lead time = 1.75
Standard deviation = 6
Safety stock will now be:
= Z × ✓L × SD
where
Z = z value = 2.33
L = lead time = 1.75
SD = standard deviation = 6
Therefore, safety stock will be:
= Z × ✓L × SD
= 2.33 × ✓1.75 × 6
= 2.33 × 1.3229 × 6
= 18.49