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We are reviewing our Uber surge pricing strategy and we are thinking about enacting a bar-district surge price. We have studied demand characteristics of rides

We are reviewing our Uber surge pricing strategy and we are thinking about enacting a bar-district surge price. We have studied demand characteristics of rides in major cities with well-known bar districts. Furthermore, our data analytics team has estimated the inverse demand P1(Q1) for rides to bar districts before 2am and the inverse demand P2(Q2) for rides from bar districts after 2am, as follows:

Group 1: rides to bar districts before 2am: P1(Q1) = 5 - 0.01Q1

Group 2: rides from bar district after 2am: P2(Q2) = 10 - 0.01Q2

First, note that these price functions are in per mile terms. Also, keep in mind that our marginal costs per mile driven is $1.

Please review optimal prices to charge to each group (using 3rd degree price customization) and let me know what the resulting profits would be.

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