Question

Hello can someone please help me with this question:(I also attached an image of it)

Consider an economy with three industries, I1, I2, I3. What outputs x1, x2, and x3 should they produce to satisfy both consumer demand and interindustry demand? The demands put on the three industries are shown in the accompanying figure. x1=0.2x2 + 0.3x3 +320 x2=0.4x3 + 0.1x1 +90 x3= 0.2x1 + 0.5x2 + 150

Answer 1

I'm not sure if I am supposed to make a matrix or what. But I got my 3 equations:

-x1 + 0.2x2 + 0.3x3 = -320
0.1x1 - x2 + 0.4x3 = -90
0.2x1 + 0.5x2 - x3 = -150

Answer 2

Using a matrix is one way to find the answer.