Consider a city with limited resources and without any possibility for water transfer from adjacent basins. The quantity of surface and groundwater resources and their supply potential for domestic usage deteriorate because of the urban development and water quality problems caused by wastewater, solid wastes, and industrial activities. The studies carried out on variations of population, water resources, and their supply potential for domestic usage have resulted in the following three relationships:

where P_t is the city population at year t, W_t is the water supply potential for domestic usage (MCM)
at year t, and Rt is the available water resources (MCM) at year t. Assuming that the city population in the first year is 0.9 × 10⁶, determine the maximum possible population of the city.

Transcribed Image Text:

Pret = P, +0.9(-0.5)10 RP W, 2x10 R=108+0.1P-0.01P-143