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Suppose that Etsy (an e-commerce site focused on handmade or vintage items) necklace vendors compete in a Bertrand market structure with differentiated products. Demand for style 1, produced by vendor 1, is given by where p1 is price of style 1 and p2 is the price of style 2, produced by vendor 2. Demand for style 2 is
The costs of providing these necklaces are C1 = q1 and C2 = 0.75q2 respectively. The equilibrium price for style 1 is $____.
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