A Desert Preserve in the Southwest Is Known for Its $\begin{array} { l } \frac { d R } { d t } = 2 R - 0.2 R C \\\frac { d C } { d t } = - 1.4 C + 0.02 R C\end{array}$

Multiple Choice

A desert preserve in the southwest is known for its populations of coyotes and road runners.The growth rate for each population can be modeled by this pair of differential equations: $\begin{array} { l } \frac { d R } { d t } = 2 R - 0.2 R C \\\frac { d C } { d t } = - 1.4 C + 0.02 R C\end{array}$ where C is the number of coyotes and R is the number of road runners.Find the equilibrium populations for this model.(Hint: These are the populations for which $\frac { d R } { d t } = \frac { d C } { d t } = 0$ ) .

A) 60 coyotes,15 road runners
B) 10 coyotes,70 road runners
C) 15 coyotes,60 road runners
D) 70 coyotes,10 road runners