The table below gives the percentage of a female population who were members of the labor force in a particular country in the indicated years. The following transition matrix P is proposed as a model for the data, where L represents females who are in the labor force and L' represents females who are not in the labor force: Current L decade L' Next Decade Year 1970 1980 1990 L L' 0.94 0.06 0.13 0.87 Percent 41.9 46.5 51.8 = P (A) Let So= 0.419 0.581. Write the equation in terms of P and So that can be used to calculate S₁. find 3₁.

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