Use the iterative method for solving the Leontief input output model for the following systems of equations. You only need to go to the sixth iterate, x
(6)
.
(a)
x1 = 0.1x1 + 0.2x2 + 0.2x3 + 100
x2 = 0.2x1 + 0.1x2 + 100
x3 = 0.2x1 + 0.1x3 + 100
(b)
x1 = 0.3x1 + 0.1x2 + 0.2x3 + 100
x2 = 0.1x1 + 0.1x2 + 0.1x3 + 100
x3 = 0.1x1 + 0.1x2 + 100