Problem $2$

Is $x=(0,0)$ an initial solution to the following problem? If not, only follow the tabular form of solution as we discussed in class:

$(2-1)$ to find an initial solution,

$(2-2)$ and then starting from the initial solution, determine the optimum solution.

Max.

$Z=-x_1-5x_2$

Subject to: $-x_1+x_2-1$

$-x_1-2x_2-2$

$x_{2}1$

$x_1,x_{2}0$