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Exercise 3.3.12

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Set

A = (\begin{matrix} 0.6 & 0.3 \\ 0.4 & 0.7 \end{matrix})

be the input-output matrix of this system. We want to solve that $Ax = x$ , which means $(A - I) x = 0$ . By calculation we get $x = t (3, 4)$ for arbitrary $t \in ℝ$ . So the proportion is used in the production of goods would be $\frac{3}{7}$ .

jephianlin

2011-06-27 00:00

Exercise 3.3.12

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