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<center><math>\left [(p_j-m_j) q'(p_j) + q(p_j)\right ] \left ( \frac{\mu}{1 - \lambda} \right = 0\,</math></center>
Which implies (given the consumer's demand function above):
<center><math>\hat{F}(p)=G \left (p \left ( \frac{\epsilon}{1+\epsilon} \right ) \right)\,</math> on the interval <math>\left [ \frac{\undelineunderline{m}\epsilon}{1+\epsilon} , \frac{\overline{m}\epsilon}{1+\epsilon} \right ]\,</math></center>
<math>
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