Consider the following LP problem.

Minimize z $=5$x$1+6$x$2+5$x$3,$

Subject to

Constraint $1$: $7$x$1+6$x$2+4$x$3>=50,$

Constraint $2$: $10$x$1+13$x$2+14$x$3>=150,$

Constraint $3$: x$1,$x$2,$x$3>=0,$

where x$1,$ x$2,$ and x$3$ represent the decision variables. Solve the LP problem to answer the following questions.

a$-1.$ What are the values of x$1,$ x$2,$ and x$3$ at the optimal solution?