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An economy consists of coal, electric, and steel industries. For each $1.00 of output, the coal industry needs $0.04 worth of coal, S0.10 worth of electricity, and $0.30 worth of steel, the electric industry needs $0.03 worth of coal, $0.04 worth of electricity, and S0.04 worth of steel; and the steel industry needs S0.20 worth of coal and $0.02 worth of steel. The sales demand is estimated to be S4 billion for coal, $4 billion for electricity, and $2 billion for steel. Suppose that the demand for electricity triples and the demand for coal doubles, whereas the demand for steel increases by only 50%. At what levels should the various industries produce in order to satisfy the new dermand? Set up the input-output matrix. Coa Electric Steel Coal Electric Steel

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EXPERT ANSWER Form 3*3 matrix from the given data.form demand matrix.change the values of demand matrix according to the changes in the problem.X=[(I-A)^-1]*D.

In a certain region, about 6% of a city’s population moves to the surrounding suburbs each year, and about 2% of the suburban population moves into the city. In 2010, there were 1,100,000 residents in the city and 600,000 residents in the suburbs. Set up a difference equation that describes this situation, where xo is the initial population in 2010. Then estimate the populations in the city and in the suburbs two years later, in 2012. (Ignore other factors that might influence the population sizes.) Set up a difference equation that describes this situation, where xo is the initial population in 2010. (Type integers or decimals.)

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Calculate the most probable values for A and B in the equations below by method of least squares. Consider the observations to be of equal weight. Solve the problem using both algebraic approach and matrices and compare your results. (10pts)

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Calculate The Most Probable Values For A And B In The Equations Below By Method Of Least Squares. Consider The Observations To Be Of Equal Weight. Solve The Problem Using Both Algebraic Approach And Matrices And Compare Your Results. (10pts) A + 2B = 10.50 + v1 2A – 3B = 5.55 + v2 2A …

Calculate the most probable values for A and B in the equations below by method of least squares. Consider the observations to be of equal weight. Solve the problem using both algebraic approach and matrices and compare your results. (10pts) Read More »

1. For a 5 x 5 matrix A = (aij) compute the signed elementary products associated with the following permutations in Sg. You get 1 point for each. (1 2 3 4 5 1 3 4 1 5 2 ( 5 1 4 2 3 1 (b) 2 3 4 5 (1 2 3 4 5 1914 1 3 5 2 (d) the identity permutation. 2. Determine whether each of the following products is an elementary product for a square matrix A= (aj) of an appropriate size. If it is, compute the corresponding signed elementary product. You get 1 point for each. (a) 043021035012054 (b) 261 0232 45236012054 (c) 27036051074025043062 (d) 2330 16072027055061044

Mathematics, Other Math / By

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