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Innovation and Growth: Suppose a region’s workforce of 14 million is initially split equally between two cities, X and Y. The urban utility curve peaks at 4 million workers, and beyond that point the slope is constantly -$3 per million workers. The initial equilibrium utility is $60. Suppose city X experiences technological innovation that shifts its utility curve upward by $12. (a) Draw a pair of utility curves, one for X and one for Y, and label the positions immediately after the innovation (before any migration) as x for city X and y for city Y. Use arrows along the curves to indicate that migration that follows. Show the long-run equilibrium using x’ and y’ respectively. (b) For the new equilibrium (after migration) calculate the utility and the population in each city. Thanks.
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