1. Use the Richardson model to model this arms race

with the following assumptions

2. Consider the problem of the United States and Russia with arms budget x(t) e

and(t), respectively, measured in billions of dollars. The budgets are

functions of time measured in years

c) The rate of change in the arms budget in a country has a constant component that

measures the level of antagonism of that country towards the other. Let r and s be

these components for x(t) and y(t) respectively.

The proportion constants, the level of antagonism and the budgets of both countries

are shown in the following table

\begin{tabular}{|c|c|c|c|c|c|c|c|} \hline a & b & p & q & r & s & \begin{tabular}{c} Presupuesto \\ USA \end{tabular} & \begin{tabular}{c} Presupuesto \\ Rusia \end{tabular} \\ \hline 3 & 1 & 4 & 2 & 6 & 1 & 0 & 0 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline a & b & p & q & r & s & \begin{tabular}{c} Presupuesto \\ USA \end{tabular} & \begin{tabular}{c} Presupuesto \\ Rusia \end{tabular} \\ \hline 3 & 1 & 4 & 2 & 6 & 1 & 0 & 0 \\ \hline \end{tabular}