Use Julia$$s JuMP to solve the problem with the solver Ipopt $($pronounced as I$-$p$-$opt$).$

This solver does not use the Simplex method $($to be introduced in lectures $5$ and $6),$ but

a nonlinear optimization method called interior point method that we will discuss much

later in the course. Find an optimal feasible solution x

$$ and the optimal objective value.

In addition to specifying how you define the problem in Julia and giving the output,

state the value for x

$$

$2$

in particular.