(Solved): Use the simplex method to solve the linear programming Maximize \( z=10 x_{1}+20 x_{2} \) problem. ...

Use the simplex method to solve the linear programming Maximize \( z=10 x_{1}+20 x_{2} \) problem. subject to: \( \quad 12 x_{1}+4 x_{2} \leq 52 \) \( 4 x_{1}+x_{2} \leq 30 \) \( 4 x_{1}+4 x_{2} \leq 60 \) with \( \quad x_{1} \geq 0, x_{2} \geq 0 \) Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The maximum is when \( \mathrm{x}_{1}=, \mathrm{x}_{2}=, \mathrm{s}_{1}=, \mathrm{s}_{2}= \), and \( \mathrm{s}_{3}= \) (Type integers or simplified fractions.) B. There is no maximum.