Following the augmented Harris-Todaro model: Suppose the city is a rectangle 10
ID: 2876097 • Letter: F
Question
Following the augmented Harris-Todaro model: Suppose the city is a rectangle 10 blocks wide with the employment center at one end (it’s an island like Manhattan). The city spreads out along the length of the island to accommodate its population, with its edge located x blocks from the employment center. Compute the city’s land area in square blocks as a function of x. Assuming that each urban resident consumes 0.001 square blocks of land, compute the amount of land needed to house the city’s population L. Set the resulting expression equal to the city’s land area, and solve for x in terms of L.
Explanation / Answer
Given Total poulation of the sity is L
Each resident consumes = 0.001 Square Block of Land
Therfore Total block required= 0.001*L..........(1)
Area of Land =Wide * Length= 10 *x ............(2)
From equation 1 and 2
0.001*L=10 *x
=> x = 0.001*L/10= 0.0001*L