Discuss the below in detail:
Q: The number of potential patrons p_i of a new movie theater complex has been estimated from census data for each of the surrounding counties i = 1, ..., 15. However, the fraction of potential patrons from any i who will actually use the complex varies inversely with its (straight line) distance from the county centroid at coordinates (x_i, y_i). Formulate a 2-variable NLP to choose a maximum total realized patronage location for the complex.