Question

please help

An economy is based on three sectors, agriculture manufacturing, and energy Production of a dolar's worth of agriculture requires Inputs of $0.30 from agriculture. $0.30 from manufacturing, and $0.30 from energy Producton of a dolar's worth of manufacturing requires inputs of $0.30 from agriculture 9.30 from manufacturing, and 90.30 from energy Production of a dollar's worth of energy requires inputs of $0.30 from agriculture. $0.00 ton manufacturing and $0.30 from energy Find the output for each sector that is needed to start a final demand of 73 billion for alcutus. 2 billion for manufacturing, and so billion for energy The output of the agricultural sector is bilion dollars. Round the final awer to three decimal places as needed. Round all intermediate values to six decimal places as needed.) The output of the manufacturing sector is lion dollars Round the final ser to three decimal places as needed Round wil intermediate value to a decirles as needed) The output of the mergy sectores bilion dollars Round the finalwer to three decimal places as needed. Round all intermediate value to a decimal places as eded)

production of a dollars worth of agriculture is

agriculture 0.30$

manufacture 0.30$

energy 0.30$

production of dollars worth of manufacture is

agricultrue 0.30$

manufacture 0.30$

energy 0.30$

production of dollars worth of energy is

agriculture 0.30$

manufacturing 0.40$

energy 0.30$

output to satisfy a final demand for each

agriculture 73$billion

manufacture 62$billion

energy 80$billion

Answer 1

Pls, comment if any issue.

$Let\:M=\begin{pmatrix}0.3&0.3&0.3\\ \:\:0.3&0.3&0.4\\ \:\:0.3&0.3&0.3\end{pmatrix}, D=\begin{pmatrix}73\\ \:\:62\\ \:\:80\end{pmatrix}$

The innput-output matrix equations is given by:

X=MX+D

X=(I-M)^-1*D

-1 1 N. 2) - 73 62. 80, ( -1 X 00 0.3 0.3 0.3 010 0.3 0.3 0.4 001 0.3 0.3 0.3 0.7 -0.3 -0.3) 73) -0.3 0.7 -0.4 62. -0.3 -0.3 0.7 80 5.28571 4.28571 4.71428 4.71428 5,71428 5.28571 (4.28571 4.28571 5.71428 1028.71428 1121.28571 1035.71428 X ) 73 62 800

1028.715 billion dollars

1121.286 billion dollars

1035.714 billion dollars