(Solved): Consider the following linear programming problem. Maximize \( P=2 x+5 y \) subject to the constra ...

Consider the following linear programming problem. Maximize \( P=2 x+5 y \) subject to the constraints \[ \begin{array}{l} 3 x+8 y \leq 1 \\ 4 x-5 y \leq 4 \\ 2 x+7 y \leq 6 \\ x \geq 0, y \geq 0 \end{array} \] (a) Write the linear programming problem as a sta Maximize \( \quad P= \) subject to \( \leq 1 \) \( \leq 4 \) \( \leq 6 \) \[ \begin{array}{l} x \geq 0 \\ y \geq 0 \end{array} \] (b) Write the initial simplex tableau.