Chapter 3.5, Problem 1CP

CHECKPOINT

The following technology matrix for a simple economy describes the relationship of certain industries to each other in the production of $1$ unit of product.

$\begin{array}{l}\begin{array}{lllll}\hfill & \text{Ag}\hfill & \text{Mfg}\hfill & \text{Fuels}\hfill & \text{Util}\hfill \end{array}\\ \begin{array}{l}\text{Agriculture}\hfill \\ \text{Manufacturing}\hfill \\ \text{Fuels}\hfill \\ \text{Utilites}\hfill \end{array}\left[\begin{array}{llll}\text{0}\text{.32}\hfill & \text{0}\text{.06}\hfill & \text{0}\text{.09}\hfill & \text{0}\text{.06}\hfill \\ \text{0}\text{.11}\hfill & \text{0}\text{.41}\hfill & \text{0}\text{.19}\hfill & \text{0}\text{.31}\hfill \\ \text{0}\text{.31}\hfill & \text{0}\text{.14}\hfill & \text{0}\text{.18}\hfill & \text{0}\text{.20}\hfill \\ \text{0}\text{.18}\hfill & \text{0}\text{.26}\hfill & \text{0}\text{.21}\hfill & \text{0}\text{.25}\hfill \end{array}\right]\end{array}$

Which industry is most dependent on its own goods for its operation?