1. The "index of public safety" in a city is given by one minus the crime rate. For example, and index of 0.90, or 90%, means that 90% of the population will not be a crime victim during a given year. The public safety index, denoted S, depends on the number of police in a city as well as its population. The relationship is

S = 13.2(P.20)(n-.30),

Where P is the number of police and n is the city population.

a) Using the formula, identify and interpret the elasticity of congestion for public safety.