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INPUT-OUTPUT MATRICES The input-output matrix associated with an economy based on agriculture
a. Determine the amount of agricultural products consumed in the production of
b. Determine the dollar amount of manufactured goods required to produce
c. Which sector consumes the greater amount of agricultural products in the production of
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Finite Mathematics for the Managerial, Life, and Social Sciences
- A square matrix is called upper triangular if all of the entries below the main diagonal are zero. Thus, the form of an upper triangular matrix is where the entries marked * are arbitrary. A more formal definition of such a matrix . 29. Prove that the product of two upper triangular matrices is upper triangular.arrow_forwardSolving for the Output Matrix A small community includes a farmer, a baker, and a grocer and has the input-output matrix D and external demand matrix E below. FarmerBakerGrocerD=[0.40.50.50.30.00.30.20.20.0]FarmerBakerGrocer and E=[100010001000] Solve for the output matrix X in the equation X=DX+E.arrow_forwardIndustrial System An industrial system has two industries with the input requirements below. (a) To produce 1.00 worth of output, Industry A requires 0.20 of its own product and 0.30 of Industry Bs product. (b) To produce 1.00 worth of output, Industry B requires 0.10 of its own product and 0.50 of Industry As product. Find D, the input-output matrix for this system. Then solve for the output matrix X in the equation X=DX+E, where E is the external demand matrix E=[40,00080,000].arrow_forward
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