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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


Definitions:

μ

It signifies the mean or average of a population in statistics, representing the central location of a data set.

σ

The symbol representing the standard deviation of a population, indicating the dispersion of data points from the mean in a population.

Normally Distributed

Characterizes a probability distribution with symmetry around its mean, illustrating that occurrences close to the mean are more common than those distant from the mean.

Standard Deviation

A measure of the dispersion or variability of a set of values, indicating how much the values deviate from the mean.

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