A two variable linear program has the following characteristics: The objective function maximizes $131+13x2$; Constraint $1$ states that $x11$; constraint $2$ states that $x210$; constraint $3$ states that $x10$; constraint $4$ states that $x20.$ Which of the following statements is true about the linear program?

In the optimal solution, constraint $3$ has a slack of $0$ and the optimal solution value is $20.$

The linear program has no optimal solution and it cannot be solved ever.

In the optimal solution, constraint $1$ has a surplus of zero and constraint $2$ has a surplus of $1.$

The optimal solution value is $143$ and in the optimal solution, constraint $2$ has "slack variable" $=0.$