(a) Explanation Given: The input-output matrix is shown below, A I/co . T / com . A I/co . T/com . [ 0.158 0.156 0.009 0.136 0.432 0.071 0.013 0.041 0.011 ] Here, A represents agriculture, I/co. represents to industry and construction and T/com. Represents to transportation and commerce. And the demand matrix is, D = [ 106 , 674 144 , 739 26 , 725 ] Formula used Production matrix, X X = ( I − A ) − 1 D A is Input-output matrix and D is demand matrix Calculation: From the input-output matrix. A I/co . T / com . A I/co . T/com . [ 0.158 0.156 0.009 0.136 0.432 0.071 0.013 0.041 0.011 ] Now, consider a diagonal matrix I with the diagonal elements are 1 . The diagonal matrix is shown below, I = [ 1 0 0 0 1 0 0 0 1 ] Now, use Ti-83 to find the values of commodities. Step 1: press (2 nd ) key and then press ( x − 1 ) key for the matrix. Step 2: Press (right) key and select (edit) then press 1 . Step 3: Set the matrix as 3 rows and 3 columns. Step 4: Enter all values of the input-output matrix in the matrix [ A ] . Step 5: press (2 nd ) key and then press ( x − 1 ) key for the matrix. Step 6: Press (right) key and select (edit) then press 2 . Step 7: Set the matrix as 3 rows and 3 columns. Step 8: Enter all values of the diagonal matrix in the matrix [ B ] . Step 9: Press (mode) key and then press (clear) key. Step 10: press (2 nd ) key and then press ( x − 1 ) key for matrix and then select matrix [ B ] . Step 11: Select the minus sign. Step 12: press (2 nd ) key and then press ( x − 1 ) key for matrix and then select matrix [ A ] . Then press (enter) key to finding the matrix ( I − A ) . The matrix ( I − A ) is shown below, ( I − A ) = [ 0 (b) To determine To calculate: The interpret economic value.

Mathematics with Applications and Mylab Math with Pearson EText -- Title-Specific Access Card Package

12th Edition

ISBN: 9780134862668

Author: Lial, Margaret L.

Publisher: Pearson Education Canada

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Chapter 6.6, Problem 34E

(a)

To determine

To calculate: The produced amount for each commodity.

(b)

To determine

To calculate: The interpret economic value.

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Chapter 6.6, Problem 33E

Chapter 6.6, Problem 35E

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