A Leontief Closed Model question as taught in Lesson 8 of my book. Please disregard my trick to quickly create a zero row in these matrices. It is an unnecessary complication. Once you have set up your matrix, just proceed to
row-reduce the way you know how and the zero stuff will take care of itself.
If you have set up your matrix correctly, remember each column must total up to exactly 1. Your matrix will be full of fractions, (halves, quarters and thirds).
Once you set up the appropriate augmented matrix, I suggest you get rid of the fractions first by multiplying
each row by the common denominator for that row.
Note that there are always infinite solutions to these problems. Assuming a parameter, t, shows up in your solution, a fair way is to make that value t dollars. Then you can list the value of each occupation in terms of t.
