Solve the Following Problem by the Simplex Method

question 17

Essay

Solve the following problem by the simplex method.
Max
14x₁ + 14.5x₂ + 18x₃
s.t.
x₁ + 2x₂ + 2.5x₃ ≤ 50
x₁ + x₂ + 1.5x₃ ≤ 30
x₁ , x₂ , x₃ ≥ 0

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Definitions:

Variability

A statistical measure of the dispersion of data points in a data series around the mean.

Central Tendency

A statistical measure that identifies a single value as representative of an entire distribution of data, commonly the mean, median, or mode.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how much the values in a data set differ from the mean.

Computing Mean

The process of calculating the average value of a set of numbers by adding them together and dividing by the quantity of numbers.