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(Solved): Given the following maximum problem: Maximize: \( \quad P=3 x_{1}+2 x_{2}+x_{3} \) Subject to the ...



Given the following maximum problem:
Maximize: \( \quad P=3 x_{1}+2 x_{2}+x_{3} \)
Subject to the following constraints:
\[
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Given the following maximum problem: Maximize: \( \quad P=3 x_{1}+2 x_{2}+x_{3} \) Subject to the following constraints: \[ \left\{\begin{array}{l} 4 x_{1}+x_{2}+x_{3} \leq 30 \\ 2 x_{1}+3 x_{2}+x_{3} \leq 60 \\ x_{1}+2 x_{2}+3 x_{3} \leq 40 \\ x_{1} \geq 0 \\ x_{2} \geq 0 \\ x_{3} \geq 0 \end{array}\right. \] the Initial Simplex Tableau can be formatted in this form: \[ \left[\begin{array}{cccccccc} P & x_{1} & x_{2} & x_{3} & s_{1} & s_{2} & s_{3} & R H S \\ a_{11} & a_{12} & a_{13} & a_{14} & a_{15} & a_{16} & a_{17} & a_{18} \\ a_{21} & a_{22} & a_{23} & a_{24} & a_{25} & a_{26} & a_{27} & a_{28} \\ a_{31} & a_{32} & a_{33} & a_{34} & a_{35} & a_{36} & a_{37} & a_{38} \\ \hline & & & & & & & \\ a_{41} & a_{42} & a_{43} & a_{44} & a_{45} & a_{46} & a_{47} & a_{48} \end{array}\right] \] In each box below, enter the appropriate value that must replace each of the letters \( a_{11} \) through \( a_{48} \) in the above tableau.


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Answer Here in this given question , we have following maximum problem Maximize : P= 3x1+2x2+
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