Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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- 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.)arrow_forwardConsider the following enrollment data for Big Mountain Community College. 3758 Technical Education Male students enrolled in 2005 and 4073 Technical Education Male students enrolled in 2008. 4203 Technical Education Female students enrolled in 2005 and 4446 Technical Education Female students enrolled in 2008. For each student population, find a linear model such that x represents the years after 2000 and E represents the enrollment. The linear model for Technical Education Male Enrollment: E = The linear model for Technical Education Female Enrollment: E = In what year will these enrollments be the same? (Round to nearest whole year)arrow_forwardThe input-output matrix for a simplified economy with just three sectors (natural resources, manufacturing, and trade and services) is given below. Natural Resources Manufacturing Trade and Services Natural Resources 0.1045 0.0427 0.0029 Manufacturing 0.0826 0.1087 0.0585 Trade and Services 0.0867 0.1019 0.2031 Suppose the demand (in millions of dollars) matrix is the matrix D, shown below. Find the amount each sector should produce. 451 D= 299 125 Production levels of units from natural resources, units from manufacturing, and units from trade and services are needed. (Round to the nearest whole number as needed.)arrow_forward
- Given the following input-output matrix A and corresponding demand matrix E for a local economy, find the production matrix X, where X=[x1 x2]. Write the exact answer. Do not round. x1= x2=arrow_forwardA simplified version of input output analysis of a national economy has the following input output matrixarrow_forwardA 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.|arrow_forward
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