The input$-$output $($consumption$)$ matrix for a closed economy is given below. Solve the associated inputoutput model. Use $r$ if you need a variable in your answer.

$\left[\begin{array}{ccccccc}0\mathrm{.}23& 0\mathrm{.}41& 0\mathrm{.}34& 0\mathrm{.}32& 0\mathrm{.}37& 0\mathrm{.}27& 0\mathrm{.}29\end{array}\right]$

$0\mathrm{.}31$

$0\mathrm{.}31$

$0\mathrm{.}46$

$x=$

$y=$

$z=$