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Can you help me answer this hand written? Question: Suppose a class of 50 students is comparing two careerslawyer or engineer. An engineer gets take-home

Can you help me answer this hand written?

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Suppose a class of 50 students is comparing two careerslawyer or engineer. An engineer gets take-home pay of $500,000 per year, irrespective of the numbers who choose this career. Lawyers make work for each other, so as the total number of lawyers increases, the income of each lawyer increasesup to a point. Ultimately, the competition between them drives down the income of each. Specifically, if there are x lawyers, each will get 50x-x2 (in 100k). The graph below shows the number of lawyers on the horizontal axis and the salaries on the vertical axis.

  1. Points A, B, C are all equilibria. Which of these equilibria are stable? Which ones are unstable? Why? Explain. (10 pts.)
  2. Explain why point D is not an equilibrium. (10 pts.)
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4. Suppose a class of 50 students is comparing two careers-lawyer or engineer. An engineer gets take-home pay of $500,000 per year, irrespective of the numbers who choose this career. Lawyers make work for each other, so as the total number of lawyers increases, the income of each lawyer increases-up to a point. Ultimately, the competition between them drives down the income of each. Specifically, if there are x lawyers, each will get 50x-x2 (in 100k). The graph below shows the number of lawyers on the horizontal axis and the salaries on the vertical axis. y = salary (in 100k) 625 Lawyers Engineers 500 B D 0 50 x = Number of Lawyers a. Points A, B, C are all equilibria. Which of these equilibria are stable? Which ones are unstable? Why? Explain. (10 pts.) b. Explain why point D is not an equilibrium. (10 pts.)

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