Use the Simplex Method to Maximize $p = 3 x + 8 y + z$

question 56

Short Answer

Use the simplex method to maximize $p = 3 x + 8 y + z$ subject to the following.
​ $\begin{aligned}6 x + 2 y + 2 z & \leq 30 \\x + 3 y + 4 z & \leq 6 \\3 x + 5 y + 5 z & \leq 14\end{aligned}$ $x \geq 0 , y \geq 0 , z \geq 0$ ​ $p =$ __________
​ $x =$ __________
​ $y =$ __________
​ $z =$ __________

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Definitions:

Operator

A coding symbol that represents a fundamental action of the programming language.

Prototype

A small model of a program built at the beginning of a large project.

Small Model

A simplified or miniature representation, often physical or mathematical, used to simulate, study, or teach about a larger or more complex system or phenomenon.

Adaptive Decision Making

A process of making choices by altering decisions based on new information or changing environments.