The Primal Problem Is

question 6

Essay

The primal problem is
Min
2x₁ + 5x₂ + 4x₃
s.t.
x₁ + 3x₂ + 3x₃ ≥ 30
3x₁ + 7x₂ + 5x₃ ≥ 70
x₁, x₂, x₃ ≥ 0
​
The final tableau for its dual problem is ​
Give the complete solution to the primal problem.

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Definitions:

Silicon Tetrahedron

A structural unit in silicate minerals, consisting of four oxygen atoms surrounding a silicon atom in a tetrahedral shape.

Cleavage

The tendency of a mineral to break along flat surfaces as determined by the mineral's crystal structure.

Silicate Mineral

Minerals that contain silicon and oxygen, and sometimes other elements, which make up the majority of the Earth's crust.

Known Minerals

Refers to substances with a definite chemical composition and crystalline structure that have been identified and cataloged by scientists.