Given the Following Linear Programming Problem What Are the Basic Variables in the Initial Tableau

question 23

Short Answer

Given the following linear programming problem:
$\begin{array} { l l } \operatorname { maximize } & 4 x _ { 1 } + 3 x _ { 2 } \\\text { subject to } & 4 x _ { 1 } + 3 x _ { 2 } \leq 23 \\& 5 x _ { 1 } - x _ { 2 } \leq 5 \\& x _ { 1 } , x _ { 2 } \geq 0\end{array}$
What are the basic variables in the initial tableau?

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Definitions:

Positive Difference

The result of subtracting a smaller number from a larger number, ensuring a non-negative result.

Fair 6-Sided Dice

A classic dice with six faces, each showing a number from one to six, where each number has an equal likelihood of appearing on a roll.

Record

An account or report documenting the occurrence or performance of something, often kept in writing or another permanent form.

Fair Coin

A hypothetical coin that has an equal probability of landing on heads or tails when flipped.