What should your reorder point be, if you want to have a 95% chance of not running out of products during the lead time? With this reorder level, how much safety stock do you have?
What should your reorder point be, if you want to have a 95% chance of not running out of products during the lead time? With this reorder level, how much safety stock do you have?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Demand for your product averages 20 units per day, with a standard deviation of 4. Your lead time is 5 days. (See attached)
- What should your reorder point be, if you want to have a 95% chance of not running out of products during the lead time?
- With this reorder level, how much safety stock do you have?

Transcribed Image Text:### Understanding the Standard Normal Table
#### Diagram Explanation
The diagram at the top is a bell-shaped curve known as the Standard Normal Distribution Curve. It represents the distribution of probabilities for a standard normal distribution with a mean of 0 and a standard deviation of 1. The x-axis is labeled "Z value," spanning from -3 to 3, and the y-axis is labeled "Probability," ranging from 0 to 0.45.
The shaded orange area under the curve between the Z values of approximately 0 and 1.2 highlights the probability of Z values falling within this range. This visualization helps in understanding how probabilities are distributed across different Z values.
#### Table Explanation
Below the diagram, there's a Standard Normal Table that provides probabilities for different Z values. The table is divided into three columns:
- **Z values**: These are the standard scores along the Z-axis under the normal curve.
- **Pr(≤Z)**: These are the cumulative probabilities or the probability that a standard normal random variable will be less than or equal to a given Z value.
#### Detailed Table Data
- **Z = 0.0**: Pr(≤Z) = 0.500
- **Z = 0.1**: Pr(≤Z) = 0.540
- **Z = 0.2**: Pr(≤Z) = 0.579
- **Z = 0.3**: Pr(≤Z) = 0.618
- **Z = 0.4**: Pr(≤Z) = 0.655
- **Z = 0.5**: Pr(≤Z) = 0.691
- **Z = 0.6**: Pr(≤Z) = 0.726
- **Z = 0.7**: Pr(≤Z) = 0.758
- **Z = 0.8**: Pr(≤Z) = 0.788
- **Z = 0.9**: Pr(≤Z) = 0.816
- **Z = 1.0**: Pr(≤Z) = 0.841
- **Z = 1.1**: Pr(≤Z) = 0.864
- **Z = 1.2**: Pr(≤Z) = 0.885
- **Z =
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