The 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 ServicesNatural Resources0.10450.04280.0029Manufacturing0.08270.10870.0584Trade and Services0.08670.10190.2032Suppose the demand (in millions of dollars) matrix is the matrix D, shown below. Find the amount each sector should produce.451D= 300126Production levels ofunits from natural resources,units from manufacturing, andunits from trade and services are needed.(Round to the nearest whole number as needed.)

Answered: The input-output matrix for a…

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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A university admissions committee anticipates an enrollment of 8000 students in its freshman class next year. To satisfy admission quotas, incoming students have been categorized according to their sex and place of residence. The number of students in each category is given by the matrix A. Male Female In-state 2700 2800 A = Out-of-state 900 800 Foreign 400 400 By using data accumulated in previous years, the admissions committee has determined that these students will elect to enter the College of Letters and Science, the College of Fine Arts, the School of Business Administration, and the School of Engineering according to the percentages that appear in the following matrix. AB = B = Male L. & S. Fine Arts Bus. Ad. Eng. 0.25 0.20 0.30 0.25 Female 0.30 0.35 0.25 0.10 Find the matrix AB that shows the number of in-state, out-of-state, and foreign students expected to enter each discipline. ↑
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
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.)
The 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.)
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=
A simplified version of input output analysis of a national economy has the following input output matrix

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