$($i$)$

Consider the following LP problem.

Minimize $z=7x_{1}7x_{2}6x_3$

Subject $to$

Constraint $1$: $7x_{1}6x_{2}4x_{3}50$

Constraint $2$: $10x_{1}13x_{2}14x_{3}150$

Constraint $3$: $x_1,x_2,x_{3}0$

where $x_1,x_2,$ and $x_3$ represent the decision variables.

a$-1.$ What are the values of $x_1,x_2,$ and $x_3$ at the optimal Note: Round your answers to $2$ decimal places.

$\backslash$table$[[x_1,],[x_2,],[x_3,]]$

a$-2.$ What is the minimum value of $z?$

Note: Round your answers to $2$ decimal places.

$$

$x$