The number of potential patrons pi of a new movie theater complex has been estimated from census data for each of the surrounding counties i = 1,c, 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 1xi, yi2. Formulate a 2-variable NLP to choose a maximum total realized patronage location for the complex.