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. A M F U 0.04 Agriculture 0.33 Manufacturing 0.36 0.03 0.10 0.06 0.42 0.25 0.18 0.15 0.10 0.41 Fuels 0.10 0.20 0.31 0.15 Utilities (a) For each 180 units of manufactured products produced, how many units of fuels are required? units (b) How many units of utilities are required to produce 90 units of agricultural products?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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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.
A
M
F
U
0.04 Agriculture
0.33 Manufacturing
0.36
0.03
0.10
0.06
0.42
0.25
0.18
0.15
0.10
0.41 Fuels
0.10
0.20
0.31
0.15 Utilities
(a) For each 180 units of manufactured products produced, how many units of fuels are required?
units
(b) How many units of utilities are required to produce 90 units of agricultural products?
units
Transcribed Image Text: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. A M F U 0.04 Agriculture 0.33 Manufacturing 0.36 0.03 0.10 0.06 0.42 0.25 0.18 0.15 0.10 0.41 Fuels 0.10 0.20 0.31 0.15 Utilities (a) For each 180 units of manufactured products produced, how many units of fuels are required? units (b) How many units of utilities are required to produce 90 units of agricultural products? units
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