The input coefficient matrix P for an economy is given by P=0.0,0.3,0.3,0.3,0.1,0.1,0.2,0.4,0.0 and the Final demand vector D = 180,20,90 find the output levels
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according the the your question and the data given in the question
0 0,3 0,3 180 = 99
0,3 0,1 0,1* 20 = 65
0,2 0,4 0 90 = 44
And in order to find the output levels for each.
c11 = a11 * b11 + a12 * b21 + a13 * b31 = 0 * 180 + 0.3 * 20 + 0.3 * 90 = 0 + 6 + 27 = 33
c21 = a21 * b11 + a22 * b21 + a23 * b31 = 0.3 * 180 + 0.1 * 20 + 0.1 * 90 = 54 + 2 + 9 = 65
c31 = a31 * b11 + a32 * b21 + a33 * b31 = 0.2 * 180 + 0.4 * 20 + 0 * 90 = 36 + 8 + 0 = 44
now we have got our output levels
0 0,3 0,3 180 = 99
0,3 0,1 0,1* 20 = 65
0,2 0,4 0 90 = 44
And in order to find the output levels for each.
c11 = a11 * b11 + a12 * b21 + a13 * b31 = 0 * 180 + 0.3 * 20 + 0.3 * 90 = 0 + 6 + 27 = 33
c21 = a21 * b11 + a22 * b21 + a23 * b31 = 0.3 * 180 + 0.1 * 20 + 0.1 * 90 = 54 + 2 + 9 = 65
c31 = a31 * b11 + a32 * b21 + a33 * b31 = 0.2 * 180 + 0.4 * 20 + 0 * 90 = 36 + 8 + 0 = 44
now we have got our output levels
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Answer:
the answer is 44.
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