Assume that an economy is based on two industrial sectors, agriculture (A) andenergy (E). The technology matrix M and final demand matrices (in billions of dollars) areshown below.AEA0.5 0.25M =D=E0.5 0.32and the output for each sector, X, that is needed to satisfy theFind (IM)final demand, D.Select the correct choice below and, if necessary, fill in the answer box to complete yourchoice.A. (I-M)-1=(Simplify your answer.)B. The matrix (I - M) is singular.

Detailed explanation: Now, let's determine the determinant of I−M to check if it is singular: Now,…

Answered: Assume that an economy is based on two…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Use a matrix method to find the equilibrium prices and quantities where the supply and demand functions for Good 1, Good 2 and Good 3 are as
A simplified version of input-output analysis of a national economy has the following input-output matrix: Agriculture Manufacturing Households 0.245 0.051 0.099 0.279 0.433 0.011 A. Agriculture Manufacturing Households 0.102 0.291 0.372 units of Manufacturing are need to produce one unit of Households B. Given Demand (in billions of dollars) for the three sectors are as follows 32.6 = Manufacturing, 3.5-Agriculture 31.8-Households Find the amount of each commodity that should be produced (nearest 0.1 billion) = Agriculture - Manufacturing Households C. If the external demand of Households raises by $1 billion then manufacturing production needs to increase by $ billion (nearest 0.01) in order to meet that increase in household external demand
(b) Let xij be the amount shipped from source i to destination j in a 5X5 transportation problem, and let Cij be the corresponding transportation cost per unit. The amounts of supply at sources 1,2,3,4 and 5 are 210, 150,250,190 and 150 units respectively and the demands at destinations 1,2,3,4 and 5 are 205, 220,180,180 and 165 units respectively. The cost of shipping from source 1 to destinations 1,2,3,4 and 5 are 29, 28, 31, 27 and 32 respectively. The cost of shipping from source 2 to destinations 1,2,3,4 and 5 are 26, 27, 30, 37 and 31 respectively. The cost of shipping from source 3 to destinations 1,2,3,4 and 5 are 32, 38, 29, 27 and 35 respectively. The cost of shipping from source 4 to destinations 1,2,3,4 and 5 are 33, 39, 27, 29 and 33 respectively. The cost of shipping from source 5 to destinations 1,2,3,4 and 5 are 35,31, 34, 23 and 35 respectively. (i)Find the associated optimal cost. (ii)Determine each non basic variable.
Find the demand matrix for the following input-output and production matrices using the open model. 13 14 A = 0.4 0.4 0.3 0.5 X= The demand matrix is (Type an integer or decimal for each matrix element.)
Two departments of a firm, A and B, need differing amounts of steel, wood, and plastic. The table on the right gives the amount of each product the departments need. These three products are supplied by two suppliers, Company C and Company D, with the unit prices given in the table on the right. C a. Use matrix multiplication to determine how much these orders will cost each department at each of the two suppliers. Enter the amounts into the cost matrix shown on the right. Dept. A Dept. B Department A Department B Steel Wood Plastic Co. C Company C 580 280 280 Co. D Company D — 570 180 380 Steel 70 60 Wood 60 40 Plastic 40 60
A logistics company wants to transport wood from 3 forestry centers to 5 demand centers. Transportation costs (in euros) are shown in the following table along with production and demand at each center: F1 F2 F3 Demand D1 100 350 300 10 D2 200 300 200 20 D3 400 600 450 16 D4 350 700 300 20 D5 Production 150 500 200 7 30 20 28 What is the transportation program that minimizes the total transportation cost? Obtain an initial solution with the least cost method. Find the transportation schedule that minimizes the total transportation cost. Report the minimum total transportation cost. Indicate whether there are alternative optimal solutions, and if so, it obtains them. Please be as clear as possible. Explain all the steps of the problem. Answer all the points requested. Thank you very much.|

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