The economy of a small country consists of three sectors: Energy, Manufacturing and Agriculture. For each $1 worth of output, the Energy sector requires $0.20 worth of input from the Energy sector, $0.20 worth of input from the Manufacturing sector and $0 worth of input from the Agriculture sector; the Manufacturing sector requires $0.40 worth of input from the Energy sector, $0.20 worth of input from the Manufacturing sector and $0.20 worth of input from the Agriculture sector; the Agriculture sector requires the same levels of input as the Manufacturing sector does. What level of output should each sector produce in order to meet a consumer demand of $3 million worth of Energy, $2 million worth of Manufacturing and $1 million worth of Agriculture? (Use Gauss-Jordan elimination for matrix inversion.
The economy of a small country consists of three sectors: Energy, Manufacturing and Agriculture. For each $1 worth of output, the Energy sector requires $0.20 worth of input from the Energy sector, $0.20 worth of input from the Manufacturing sector and $0 worth of input from the Agriculture sector; the Manufacturing sector requires $0.40 worth of input from the Energy sector, $0.20 worth of input from the Manufacturing sector and $0.20 worth of input from the Agriculture sector; the Agriculture sector requires the same levels of input as the Manufacturing sector does. What level of output should each sector produce in order to meet a consumer demand of $3 million worth of Energy, $2 million worth of Manufacturing and $1 million worth of Agriculture? (Use Gauss-Jordan elimination for matrix inversion.)
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