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Dealer Profit Function

Maximum over the level of Toyota promotional services S of the dealer's profit margin from selling a Toyota (M superscript D subscript T) less the dealer's profit margin from selling a Honda (M superscript D subscript H) multiplied by dealer's probability of making the Toyota sale (p as a function of S) less the cost of promoting Toyota (C as a function of S)

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Updated June 25, 2015