MATH 1071 MatrixApplications2_10:31

One unit of manufacturing requires 04 unit of

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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 Input-Output 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 Input-Output 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...
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This document was uploaded on 02/18/2014 for the course MATH 1071 at Colorado.

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