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Word Count: 362
1 Each assumption leads to different aspects of the battle to achieve higher arms Assumption A wants to increase the level of arms to a proportion of the arms level of the other country To do this you want to take the rate of growth of the other country and multiply this by a proportional constant The opposite country does the same due to them wanting to keep pace with their opposing foe Assumption B wants to decrease its level of arms to go along with national spending issues This is done in the same way respective to their specific needs You must use a new proportional constant to go with the budgetary rate of depletion Assumption C is a little different because in this assumption youre not taking a rate of increase or decrease youre simply adding or subtracting your level of arms to the countrys desires These all lead to a First-Order Difference equation because none of the rates are taken times themselves due to the countrys reactions being don only one time First-Order means nothing is squared cubed etc and a difference equation adds or subtracts certain levels of need 2 DXn b1 Yn-1 - a1 Xn-1 c DYn b2 Xn-1 - a2 Yn-1 d Use these equations to represent the change in billions of dollars spent on national arms where 1 n 10 and a1 a2 b1 b2 c d X0 Y0 a 4 4
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