Problem

Israeli Economy In 1966, Leontief used his input-output model to analyze the Israeli econo...

Israeli Economy In 1966, Leontief used his input-output model to analyze the Israeli economy by dividing it into three segments: agriculture (A), manufacturing (M), and energy (E), as shown in the following technological matrix.

 

 

Input

 

A

M

E

 

A

$0.30

$0.00

$0.00

Output

M

$0.10

$0.20

$0.20

 

E

$0.05

$0.01

$0.02

The export demands on the Israeli economy (in thousands of Israeli pounds) are listed as follows.

Agriculture

$140,000

Manufacturing

$20,000

Energy

$2,000

(a) Find IT, where T is the technological matrix.

(b) Use computer software to find (IT)−1.

(c) Find the total output for each sector required to meet both internal and external demand.

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