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You got it right. As you guessed, it's an eigenvalue and eigenvector problem from a linear algebra book. Several ways you can do it. For example, if you notice that the system has a steady state, you can get the answer with middle school math as you did. It could also be set up as a system of recurrence relations: G(n) = (4/5)*G(n-1) + (1/3)*R(n-1) Y(n) = (1/2)*Y(n-1) + (1/5)*G(n-1) R(n) = 100 - G(n) - Y(n) with characteristic polynomial x^3 - (59/30)x^2 + (19/15)x - 3/10 = 0
Feb 7, 2023, 4:25 pm - cottoneyedjoe - Mathematics Forum