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108<br />

In the ma<strong>in</strong> text we discuss the implications <strong>of</strong> the situation that the average pr<strong>of</strong>it<br />

equals zero. This implies that<br />

pþk X<br />

qþk<br />

Qþk þ<br />

qþk<br />

2<br />

¼ 0: (23)<br />

Reorder<strong>in</strong>g Eq. (23) and replac<strong>in</strong>g Q+k by Q+k−1+qk yields the average pr<strong>of</strong>it<br />

conditions Eq. (10) from which average break even and update conditions can be<br />

derived as described <strong>in</strong> the ma<strong>in</strong> text.<br />

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