Consider an economy with three product-producing sectors and one non-producing sector. Suppose the

economy is described by the Leontief equation with consumption matrix

If the open sector demands the same dollar value from each product-producing sector, which sector

must produce the greatest dollar value to meet the demand?

A hint that was given to me,although I don't think it isvery relevant: "You may use the fact that (A/a)−1 = aA−1 for any invertible matrix A and any nonzero a ∈ R."