**Input-Output Analysis of a National Economy**Below is a simplified input-output matrix representing the relations among three sectors of a national economy: Agriculture, Manufacturing, and Households.| | Agriculture | Manufacturing | Households ||----------------|-------------|---------------|------------|| **Agriculture** | 0.245 | 0.102 | 0.051 || **Manufacturing** | 0.099 | 0.291 | 0.279 || **Households** | 0.433 | 0.372 | 0.011 |**Section A**- ________ (fill in) units of Households are needed to produce one unit of Manufacturing.**Section B**Given the demand (in billions of dollars) for the sectors:- Agriculture: $3.4 billion- Manufacturing: $31 billion- Households: $34 billionCalculate the amount of each commodity that should be produced (rounded to the nearest 0.1 billion).- ________ = Agriculture- ________ = Manufacturing- ________ = Households**Section C**If the external demand for Households increases by $1 billion, manufacturing production needs to rise accordingly. Determine by how much manufacturing should increase (to the nearest 0.01 billion) to meet this growth in household demand.- Manufacturing increase: $________ billion This analysis helps understand how changes in one sector affect others, essential for economic planning and forecasting.

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Answered: A simplified version of input-output…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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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
Assume that an economy is based on two industrial sectors, agriculture (A) and energy (E). The technology matrix M and final demand matrices (in billions of dollars) are shown below. A E A 0.5 0.2 5 M = D= E 0.5 0.3 2 and the output for each sector, X, that is needed to satisfy the Find (IM) final demand, D. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. (I-M)-1 = (Simplify your answer.) B. The matrix (I - M) is singular.
Consider 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)
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.)
An entrepreneur who owns and operates two businesses (A and B) would like to analyze their profitability. They would like your help in the analysis. They give you the annual net profit (in thousands of $) for each business from 2008-2020. Table 1: Annual Net Profits for Businesses A and B Business Year Profit Business Year Profit 2008 -50 2008 -10 2009 57 2009 30 2010 71 2010 27 2011 64 2011 22 2012 60 2012 21 2013 50 2013 20 A 2014 41 2014 24 2015 59 2015 24 2016 71 2016 32 2017 71 2017 36 2018 74 2018 37 019 81 20 40 2020 97 2020 49 a. Suppose you want to graph the distribution of profits. Explain why using only one stem- plot might not be optimal for the analysis. b. Describe the correct stemplot to use. Generate this stemplot. Explain your steps. What can you say about the distribution from this stemplot? c. When are stemplots useful? And why is that? d. Suppose that instead of having 26 observations you have 200 observations. What graph should you generate? e. What other type of…
A simplified version of input output analysis of a national economy has the following input output matrix
.. Represent the following data or details of cost of two commodities by therectangular diagram. Details Соmmodity A Сommodity B Price per unit Rs. 5 Rs. 4 Quantity sold Values of raw materials 40 units 30 units Rs. 52 Rs. 50 Other expenses of population Rs. 64 Rs. 60 Profits Rs. 44 Rs. 40 11 1-I
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