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
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Demand for your product averages 20 units per day, with a standard deviation of 4. Your lead time is 5 days. (See attached)

  1. What should your reorder point be, if you want to have a 95% chance of not running out of products during the lead time?
  2. With this reorder level, how much safety stock do you have?
### 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 =
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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