This exercise requires the use of technology.

Four sectors of the U$.$S$.$ economy are $(1)$ livestock and livestock products, $(2)$ other agricultural products, $(3)$ forestry and fishery products, and $(4)$ agricultural, forestry, and fishery services. Suppose that in $1977$ the input$-$output table involving these four sectors was as follows $($all figures are in millions of dollars$).$

Determine how these four sectors would react to an increase in demand for livestock $($Sector $1)$ of $$2,500$ million, how they would react to an increase in demand for other agricultural products $($Sector $2)$ of $$2,500$ million, and so on$.($Round your answers to two decimal places. Let the columns of the matrix be given in millions of dollars.$)$

To $1234$

From $111,9379109855$

$226,6494,28504,744$

$30043961$

$45,42310,9523,002216$

Total Output $97,795120,59414,64247,473$