(Solved): For the following, set up the simplex table and find the pivot. Use this information \( t \) answer ...

For the following, set up the simplex table and find the pivot. Use this information \( t \) answer the questions below. Assume that all \( x \) variables are non-negative. Maximize: \( \quad z=4 x_{1}+2 x_{2}+3 x_{3} \) Subject to: \( 4 x_{1}+6 x_{2}+2 x_{3} \leq 100 \) \[ 5 x_{1}+3 x_{2}+7 x_{3} \leq 320 \] Blank 1: How many slack variables are needed in this simplex table? Enter your answer as a whole number with no other spaces or symbols. Example: 4 6 Blank 2: What is the value of the pivot? Enter your answer as a whole number with no other spaces or symbols. Example: 2 \( -6 \) Blank \( \# 1 \) Blank 2