The feasible region for a linear program is defined by these constraints: $3$A $2$B $>=0$; $2$A $1$B $<=200$; $1$A $<=150$; A $>=0$; B $>=0.$ Which of the following statements is true about this linear program?

Group of answer choices

When maximizing $($A$-$ B$),(100,0)$ is the best corner point.

The feasible region has five corner points.

$(150,150)$ is a corner point.

The feasible region has $3$ corner points.