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There are two vendors (B and P) located on a beach that rent umbrellas. B has set up shop threequarters of a mile from the

There are two vendors (B and P) located on a beach that rent umbrellas. B has set up shop threequarters of a mile from the north end of the beach and P rents from a location one mile from the south end of the beach. They each have an unlimited supply of umbrellas but neither likes dealing with customers. B incurs a marginal cost of $0.50 for each umbrella he rents while Ps constant MC is $0.35 per umbrella. There are 100 customers per mile of beach that would each like to rent one umbrella. The customers must also pay someone to bring the umbrellas to them at a rate of $10 per mile. Solve for the BertrandNash equilibrium prices and profits. How many customers does each vendor serve? What is the location of the marginal customer and how much does she pay (inclusive of transportation)?

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