Please refer to the image attached to answer #7:

7. Consider the following model of Romeo, Juliet, and Juliet's nurse: R' = JN - 3R J' = 10(N - J) N' = 28J - N- RJ This system has three equilibrium points, at (27, 6v2, 6v2), (27, -6V2, -6V/2), and (0, 0, 0). a) Compute the Jacobian of this system. b) For each equilibrium point, plug the equilibrium point into the Jacobian and find its eigenvalues. What type of equilibrium point is each one