# Holukuluku's Sector Seven

##### (http://faculty.washington.edu/krumme/350/exercises/sector7.html)

Sector 7's Impact on Sector 1 Involving Two Links:

 (1) (2) (3) (4) (5) (6) (7) (8) .15 .5 0 .2 0 .1 .05 0 .2 .1 0 .05 .05 .05 0

Multiplication of the row vector of sector one's forward linkages by the column vector for sector seven's backward linkages (regional input coefficients) results in:

=.05 x .15 + .5 x .2 + 0 x .1 + .2 x 0 + 0 x .05 + .1 x .05 + .05 x .05 + 0 x 0

=.0075 + .1 + .005 + .0025 = .1150

Sector 7's Round-By-Round Effects on Holukuluku's Economy
(i.e. Sectors 1-8)

### Power Series Approximation: BP = I + A + A2 + A3 + A4 + A5 + A6 ...... [using hypothetical direct coefficient table (A), calculated for sector 7 only] * Leontief Inverse BL = (I-A)-1

 Ad A2 A3 A4 A5 A6 SUM + I * (I-A)-1 Sector 7 7 7 7 7 7 7 7 7 Diff. 1 .0500 .1150 .0390 .0166 .0095 .0049 .2349 .2349 .2403 .0054 2 .2000 .0220 .0044 .0054 .0024 .0011 .2353 .2353 .2365 .0012 3 .1000 .0230 .0059 .0042 .0023 .0011 .1365 .1365 .1378 .0013 4 .0000 .0400 .0289 .0149 .0083 .0045 .0967 .0967 .1019 .0052 5 .0500 .0475 .0333 .0182 .0098 .0053 .1640 .1640 .1700 .0060 6 .0500 .0195 .0143 .0078 .0041 .0022 .0979 .0979 .1003 .0024 7 .0500 .0155 .0256 .0105 .0047 .0026 .1088 1.109 1.112 .0029 8 .0000 .0225 .0178 .0123 .0069 .0037 .0631 .0631 .0674 .0043