Consider the following LP problem.

$1\mathrm{.}25$

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Minimize $z=5x_1+6x_2+5x_3,$

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. 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?

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

$\backslash$table$[[x_1,1\mathrm{.}72],[x_2,0\mathrm{.}00],[x_3,9\mathrm{.}48]]$

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

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

$\backslash$table$[[z,3224]]$

Identify the binding and non binding contraints and report the surplus value

Contraint$1$:

Constraint$2$: