This preview shows page 1. Sign up to view the full content.
Unformatted text preview: uring requires 0.4 unit of manufacturing, 0.3 unit
of agriculture, and 0.2 unit of transportation. One unit of transportation
requires 0.4 unit of transportation, 0.2 unit of agriculture, and 0.3 unit
of manufacturing.
2 make 3
a .4 .3 .2
4
consume > A =m ..2 ..4 ..3 5 cost is in the rows
t124 Patrick Newberry Applications of Matrices October 31, 2012 3 / 10 x[
y[
z[ X InputOutput Analysis If total output of agriculture is 190 units, the total output of
manufacturing is 235 units, and the total output of transportation is
140 units, then how much of the output is left for public demand to
consume?
02
32
31 2
3
100
.4 .3 .2
190
D = (I A)X = @4 0 1 0 5 4 .2 .4 .3 5A 4 235 5
001
.1 .2 .4
140
2
32
3
.6
.3
.2
190
.3 5 4 235 5
= 4 .2 .6
.1
.2 .6
140
2
3
15.5
X
A
= 4 61 5
18 Notes row of A time column in X Patrick Newberry Applications of Matrices October 31, 2012 4 / 10 vertical is producing
horizontal is the cost to produce one unit
InputOutput Analysis If there is a (public) demand for 35 units of agriculture, 90 units of
manufacturing, and 20 units of transportation, then how many
units should each sector produce?
(I A)X = D
X = (I
2 A) 1 .6
= 4 .2
.1
2...
View
Full
Document
This document was uploaded on 02/18/2014 for the course MATH 1071 at Colorado.
 Fall '08
 MARSHALL,K
 Math, Matrices

Click to edit the document details