Suppose a primitive economy consists of three industries: the agricultural industry, themanufacturing industry, and the fuels industry. The corresponding technology matrix is given by5.(0.6 0.10.2AgriculturalA =0.20.40.2 Manufacturing .\0.10.30.5,FuelsUsing Gaussian elimination, find the gross production of each industry if a surplus of 60 units ofagricultural products, 50 units of manufactured goods, and 40 units of fuels is desired.

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Answered: Suppose a primitive economy consists of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Graph the following Discrete Dynamical Systems. Explain their long-term behavior. Try to find realistic scenarios that these DDS might explain. (Need answer for question number 7.)
Let A is an m by n matrix and Ax=b. If rank(A)<rank{[A|b]), the the linear system has how many solution/s?
If a system, æ"+ 50x' + 15x f (t) is converted into a state-space model, what would be the state (A), input (B), and output (C) matrices? [where input = f (t) and output = x (t) ] -50 ㅇ A = and C = [0 1] -15. =Lis sol So), B = and C = [1 0] -50. A = [Lso isl; ], B = [H and C = [1 0] -50 15. None of the above
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
8. In the closed model of Leontief with food, clothing, and housing as the basic industries, suppose that the input-output matrix is A= At what ratio must the farmer, tailor, and carpenter produce in order for equilib- rium to be attained?
2. Setup: Suppose we know the following: [1 10] 1 10 X = 1 12 1 15 [114] Y = 2 = € -0.25 Var(8) = 9. 0.25 7.356 -0.587] -0.587 0.048 Identify the following (only algebra required, no complicated matrix calculations): (a) What are the x-values in the dataset? 1 (b) Find the equation of the regression line in the form ŷ = B₁ + B₁x. (c) Find Var(8o), Var (3₁). (d) Find COV (30, 31).
f0.2 0.3 0.2] [30] (c). If input matrix is 0.4 0.1 0.2 and its final demand is 15, what are the solution lo.1 0.3 0.2l liol output levels for the three industries? (Round off answers to two decimal places.)
Question # 2: Dentists use various amalgams for silver fillings. The matrix shows the percentages expressed as decimals) of powdered alloys used in preparing three different amalgams. Suppose a dentist has 5483 grams of silver, 2009 grams of tin, and 129 grams of copper. How much of each amalgam can be made? Convert it into a system of linear equations and solve using Cramer's rule. PERCENT ALLOY BY WEIGHT Amalgam А в с Silver [0.70 0.72 0.73 Tin 0.26 0.25 0.27 Copper [0.04 0.03 0.00
Question 4. Suppose your linear code C € V(10, 11) is given by [x1,x2,...,x10] € C if x₁ + x10 = 0, + x₁ + 2x₂ + (a) Find a parity check matrix. + 10x10 = 0.

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