In the 2016 federal election, California voted 62% Democrat, 32% Republican, and 6% Other parties. Suppose...

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In the 2016 federal election, California voted 62% Democrat, 32% Republican, and 6% Other parties. Suppose that voter retention in future elections is predicted as follows: (i) 90% of Democrat voters remain Democrat, 5% become Republican, and 5% vote for other parties. (ii) 75% of Republican voters remain Republican, 15% become Democrat, and 10% vote for other parties. (iii) 50% of other parties supporters continue to vote for other parties, 25% become Democrat, and 25% become Republican. (a) Let D, Ra, and O, denote the percentage of California voters who vote Demo- crat, Republican, and Other in the nth election. Formulate a difference equation model for the evolution of voter tendencies. (Note: Do not forget Do, Ro, and Oo!) (b) What percentage of voters will vote Democrat, Republican, and Other in the 2020 election (i.e. n = 1)? (c) Set up, but do not solve, the linear system for computing the fixed point (i.e. long-term behavior) of the model. In the 2016 federal election, California voted 62% Democrat, 32% Republican, and 6% Other parties. Suppose that voter retention in future elections is predicted as follows: (i) 90% of Democrat voters remain Democrat, 5% become Republican, and 5% vote for other parties. (ii) 75% of Republican voters remain Republican, 15% become Democrat, and 10% vote for other parties. (iii) 50% of other parties supporters continue to vote for other parties, 25% become Democrat, and 25% become Republican. (a) Let D, Ra, and O, denote the percentage of California voters who vote Demo- crat, Republican, and Other in the nth election. Formulate a difference equation model for the evolution of voter tendencies. (Note: Do not forget Do, Ro, and Oo!) (b) What percentage of voters will vote Democrat, Republican, and Other in the 2020 election (i.e. n = 1)? (c) Set up, but do not solve, the linear system for computing the fixed point (i.e. long-term behavior) of the model.

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a Formulating the difference equation model Lets define the variables Do 62 Democrat voters in 2016 ... View the full answer