Consider the standard matching theoretical framework in a spatial context.
Workers are uniformly distributed along a roadway. Each firm chooses an address
along the roadway of unit length and hires two workers. The cost of commuting is
incorporated in the market wage: wage = 50+60d where d is the distance from the
worker to the nearest firm. Calculate the wage in (i) a city with 4 workers and 2 firms
and (ii) a city with 6 workers and 3 firms.