Find the Maximum and Minimum Values of the Function

question 167

Short Answer

Find the maximum and minimum values of the function
​ ​
subject to the constraint .
​
Find the maximum.
​
Find the minimum.

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Definitions:

Standard Deviation

The statistical measure that quantifies the dispersion or variability within a data set.

Mean

The arithmetic average of a set of numbers, calculated by adding them together and dividing by the count of the numbers.

Z-score

A numerical metric indicating how a specific value compares to the average of a dataset, expressed by the number of standard deviations away from that average.

Standard Deviation

An indicator of the spread or variability within a data set; where a small standard deviation indicates values closely clustered around the average, and a large standard deviation suggests they are widely scattered.