$($b$)$ There would only be two districts if what happened? $(2$ points$)$

$6.$ Consider a $3$ person city choosing a park size and Amy has low demand and prefers a $5$ acre park, Bert has medium demand and prefers a $10$ acre park, and Carrie has high demand and prefers a $15$ acre park. Suppose that the city pays $$\frac{25}{?}$ citizen$/$acre for the park.

$($a$)$ Draw a graph showing this scenario. Please label all lines, numbers, axes, and equilibria. $(4$ points$)$

$($b$)$ Who is the median voter? Under the median voter model what size park would the city have? Explain how this works $($who wins an election between $5$ and $10$ acre park, who wins an election between $10$ and $15$ acre park$)$ and who is happy and who is unhappy under the median voter model. $(4$ points$)$