Consider the following LP problem.

Maximize z $=3\mathrm{.}18$x$1+2\mathrm{.}14$x$2,$

Subject to

Constraint $1$: $2$x$1+3$x

Constraint $2$: $3$x$1+$ x

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

where x$1$ and x$2$ represent the decision variables. Solve the LP problem to answer the following questions. Report the shadow price and range of feasibility of each binding constraint.