Answered: Zack Pop has been a producing plant…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Question

Zack Pop has been a producing plant production manager for the last 10 years. One produce item, zucchini, is sold in cases, with daily sales averaging 400 cases. Daily sales are also assumed to be normally distributed. Furthermore, 85% of the time sales are between 350 and 450 cases. Each case is purchased for $10 wholesale and sells for $15 retail. All cases that are not sold must be discarded.

1) Estimate the standard deviation of the sales distribution.

2) Using the standard deviation found in part a, determine how many cases of zucchini Zach should stock.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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