Chapter 1.2, Problem 41E

Consider the economy of Israel in ${1958.}^{11}$ The threeindustries considered here are
$I_1:$ agriculture,
$I_2:$ manufacturing,
$I_3:$ energy.

Outputs and demands are measured in millions ofIsraeli pounds, the currency of Israel at that time. Weare told that
   $\begin{array}{l}\stackrel{\to }{b}=\left[\begin{array}{c}13.2\\ 17.6\\ 1.8\end{array}\right],{\stackrel{\to }{v}}_1=\left[\begin{array}{c}0.293\\ 0.014\\ 0.044\end{array}\right],\\ {\stackrel{\to }{v}}_2=\left[\begin{array}{c}0\\ 0.207\\ 0.01\end{array}\right],{\stackrel{\to }{v}}_3=\left[\begin{array}{c}0\\ 0.017\\ 0.216\end{array}\right].\end{array}$

a. Why do the first components of ${\stackrel{\to }{v}}_2$ and ${\stackrel{\to }{v}}_3$ equal 0?
b. Find the outputs $x_1,x_2,x_3$ required to satisfydemand.