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2. Suppose that pharmaceutical sales representative i derives utility from his/her job according to the utility function U;(W, T) = W -B(T - T/)?, where

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2. Suppose that pharmaceutical sales representative i derives utility from his/her job according to the utility function U;(W, T) = W -B(T - T/)?, where W denotes annual salary, T E [0,1] is the fraction of annual work days spent away from home, B > 0 is a taste parameter, and T7 is sales representative i's preferred fraction of annual work days spent travelling. Suppose that sales reps have heterogeneous preferences for on-the-job travel; in particular, suppose that T, is uniformly distributed on the [0,1] interval in the sales rep population. On the demand side of the pharmaceutical sales rep labor market, suppose that a fixed fraction p of jobs require "low travel", T = Tz, and a fixed fraction 1 -p of jobs require "high travel", T = TH, where 0 S TI

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