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 $$1,000$ million, how they would react to an increase in demand for other agricultural products $($Sector $2)$ of $$1,000$ million, and so on$.($Round your answers to two decimal places. Let the columns of the matrix be given in millions of dollars.$)$

$\backslash$table$[[$To$,1,2,3,4],[$From$,11,937,9,109,855],[2,26,649,4,285,0,4,744],[3,0,0,439,61],[4,5,423,10,952,3,002,216],[$Total Output,$97,795,120,594,14,642,47,473]]$