Problem 3: car-planes and city size. Consider a regional economy with 12 million workers and an urban utility curve of u(n) = 15 + 12n − 2n2, where n is the number of workers in millions. Initially the region has four cities, each of the same size. Suppose city A introduces carplanes to replace regular cars for commuting and its urban utility function is u(n) = 15 + 12n − n2. Predict the effect of the carplane on the equilibrium distribution of population between cities the equilibrium utility level and regional utility.
Problem 3: car-planes and city size. Consider a regional economy with 12 million workers and an urban utility curve of u(n) = 15 + 12n − 2n2, where n is the number of workers in millions. Initially the region has four cities, each of the same size. Suppose city A introduces carplanes to replace regular cars for commuting and its urban utility function is u(n) = 15 + 12n − n2. Predict the effect of the carplane on the equilibrium distribution of population between cities the equilibrium utility level and regional utility.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Problem 3: car-planes and city size. Consider a regional economy with 12 million workers and an urban utility curve of u(n) = 15 + 12n − 2n2, where n is the number of workers in millions. Initially the region has four cities, each of the same size.
Suppose city A introduces carplanes to replace regular cars for commuting and its urban utility function is u(n) = 15 + 12n − n2. Predict the effect of the carplane on
- the equilibrium distribution of population between cities
- the equilibrium utility level and regional utility.
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