A linear program has constraint set as follows: X$1>=0$; X$2>=0$; X$1<=2$; X$1>=5$; X$2<=7.$ Which of the following statements is true about the linear program?

Group of answer choices

X$2=7$ in the optimal solution.

The objective function is $0.$

The objective function is infinite.

The linear program is infeasible and doesn$$t have any solutions.