Question: 5. You have been given the task to determine the level of inventory to match a desired service level SL. You know that the product
5. You have been given the task to determine the level of inventory to match a desired service level SL.
You know that the product you are planning for is a single-period product.
You also know that the product has a demand that is normally distributed, with a mean of , and a standard deviation of .
Because it is a normal distribution, you know from Probability and Statistics, and now from Supply Chain Management, that you need to calculate the zz-value.
The following equation accurately describes the relationship between the mean, the standard deviation, the z-value, and the desired service level SL.
A. Mean + (Std. Dev) * z = SL
B. Probability of {Demand <= Mean + (Std. Dev) * z} = SL
C. z = SL
D. z = SL / (Std. Dev)
6. If you are using Microsoft Excel to calculate z, for a given target service level SL, then the appropriate formula to determine z is ______.
A. NORMDIST(SL)
B. NORMINV(SL)
C. NORMSDIST(SL)
D. NORMSINV(SL)
7. Suppose Megan decides to plan for inventory that is 2.5 standard deviations above the mean of the demand distribution.
That means, in this case, Megan planned for z = 2.5.
If Megan wants to use Microsoft Excel to determine the service level that will be achieved by this z, the appropriate formula to use is:
A. normdist(2.5)
B. norminv(2.5)
C. normsdist(2.5)
D. normsinv(2.5)
8. By choosing a higher value of z, we will achieve the following: ___________.
A. higher inventory, higher service level
B. lower inventory, higher service level
C. higher inventory, lower service level
D. lower inventory, lower service level
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