Farmer Baker Grocer [0.4 D = 0.3 0.2 0.5] Farmer 0.3 Baker |1000] and E =| 1000 0.5 0.0 [0.2 0.0] Grocer 0.2 1000

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 7E
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A small community includes a farmer, a baker, and a grocer and has the input-output matrix D and external demand matrix E below.
Solve for the output matrix X in the equation
X = DX + E.

Farmer Baker Grocer
[0.4
D = 0.3
0.2
0.5] Farmer
0.3 Baker
|1000]
and E =| 1000
0.5
0.0
[0.2
0.0] Grocer
0.2
1000
Transcribed Image Text:Farmer Baker Grocer [0.4 D = 0.3 0.2 0.5] Farmer 0.3 Baker |1000] and E =| 1000 0.5 0.0 [0.2 0.0] Grocer 0.2 1000
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