(Solved): Show all Steps  1) Construct the table of basic solutions and use it to solve the following ...

Show all Steps 

1) Construct the table of basic solutions and use it to solve the following linear programming problem. Maximize: \( \quad P=15 x+10 y \) Subject to: \( 2 x+y \leq 10 \) \[ x+3 y \leq 10 \] \[ x, y \geq 0 \] 2) Construct the table of basic solutions and use it to solve the following linear programming problem. Maximize: \( \quad P=3 x+2 y \) Subject to: \( 5 x+2 y \leq 20 \) \[ \begin{array}{l} 3 x+2 y \leq 16 \\ x, y \geq 0 \end{array} \] 3) Use the Simplex Method Tool to solve the following linear programming problem. Maximize: \( \quad P=4 x+3 y+2 z \) Subject to: \[ \begin{array}{l} 3 x+2 y+5 z \leq 23 \\ 2 x+y+z \leq 8 \\ x+y+2 z \leq 7 \\ x, y, z \geq 0 \end{array} \]