This is the input-output table for a certain economy consisting of two sectors (all units measured in dollars): Coal Refining Coal 7,492,480 19,283,600 Refinining 3,746,240 16,528,800 Total Output 18,731,200 27,548,000 1) What is the matrix associated with this economy?   2) The matrix (I - A)^-1 is given by (I-A)^-1 = [ 4  7                  2   6] How would this economy respond to a $1000 increase in demand in refining?

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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This is the input-output table for a certain economy consisting of two sectors (all units
measured in dollars):
Coal Refining
Coal 7,492,480 19,283,600
Refinining 3,746,240 16,528,800
Total Output 18,731,200 27,548,000

1) What is the matrix associated with this economy?
 

2) The matrix (I - A)^-1 is given by

(I-A)^-1 = [ 4  7

                 2   6]

How would this economy respond to a $1000 increase in demand in refining?

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