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Prices always come from the demand function. Firm's don't make profits by setting prices, they make profits by providing less than competitive quantities. Accordingly first find the total quantity provided:
:<math>Q^* = \sum_{i=1}^n q_i^* = \frac{\left ( nA - \sum_{i=1}^n c_i \right )}{B (n+1)}</math>
And then substitute into <math>\;p=A-BQ</math> to get:
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