You are a new employee at a household cleaner producer


You are a new employee at a household cleaner producer. Their new product, that is slated to compete with SC Johnson’s Toilet Duck bowl cleaner, is named Toilet Weasel. You are in charge of the machine that fills the weasel shaped containers with the cleaning fluid. This machine can be set to output between one to three liters of fluid per container. There is a standard deviation of 25.7 ml for this machine and the container volume is 2 liters. The company has stated that they want as much cleaning fluid as possible in each container, and due to the deviation in filling volumes, they are prepared to accept a 1 out of 100 overfill rate (where overfilling is a volume greater than 2 liters). Your goal is to find the setting for the machine (between 1 to 3 liters) that will result in an overfill rate of 1 out of 100. (Hint: the machine setting is considered to be the average fill volume.)

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Operation Management: You are a new employee at a household cleaner producer
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