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2. Country X decides to run a simulation to determine what we to war with country Y. Both are small countries within rang assets and so they model the potential engagement as system: dy for troop numbers zo 12,000 and yo -5.6ry -7.0ry 15,000

2. Country X decides to run a simulation to determine what we to war with country Y. Both are small countries within rang assets and so they model the potential engagement as system: dy for troop numbers zo 12,000 and yo -5.6ry -7.0ry 15,000

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ: 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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2. Country X decides to run a simulation to determine what would happen if they went to war with country Y. Both are small countries within range of each others artillery assets and so they model the potential engagement as the following dynamical system: dr -5.6ry dy -7.0ry dt for troop numbers zo = 12, 000 and yo = 15, 000 %3D (a) What will be the outcome of this engagement? (b) X is not satisfied by the simulation and investigates the possibility of a direct land engagement instead. They simulate a different battle plan: • They will start with an artillery bombardment exactly as detailed above until they have eliminated half of Y's forces. The remaining forces of X then will cross the border and engage Y's forces who will be unprepared for the encounter, represented by the following dynamical system: dr -2.2y dt dy -5.3r dt What is the outcome of this encounter? How many troops does the victor have remaining? 弔|
Transcribed Image Text:2. Country X decides to run a simulation to determine what would happen if they went to war with country Y. Both are small countries within range of each others artillery assets and so they model the potential engagement as the following dynamical system: dr -5.6ry dy -7.0ry dt for troop numbers zo = 12, 000 and yo = 15, 000 %3D (a) What will be the outcome of this engagement? (b) X is not satisfied by the simulation and investigates the possibility of a direct land engagement instead. They simulate a different battle plan: • They will start with an artillery bombardment exactly as detailed above until they have eliminated half of Y's forces. The remaining forces of X then will cross the border and engage Y's forces who will be unprepared for the encounter, represented by the following dynamical system: dr -2.2y dt dy -5.3r dt What is the outcome of this encounter? How many troops does the victor have remaining? 弔|
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