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Q2 Z2,(Q2) Z2(Q2) - Institute for Water Resources - U.S. Army

Q2 Z2,(Q2) Z2(Q2) - Institute for Water Resources - U.S. Army

Q2 Z2,(Q2) Z2(Q2) - Institute for Water Resources - U.S. Army

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Under the assumptions of the model (a one period demand<br />

model with no inventory holding), the firm will prefer<br />

undependability in delivery time. That is, given a choice<br />

between two types of delivery, both having the same mean, the<br />

shipper will prefer the one with the greatest variance of<br />

delivery time - <strong>for</strong> it will yield the highest expected net<br />

discounted price (which implies the greatest profit in the<br />

competitive model). - •<br />

be<br />

The demonstration of this risk preference is shown<br />

^<br />

Taking the first two partials of P •<br />

with respect to oc yields:<br />

-ali -D-AX11-13 ints14 0<br />

( 7). --- = ..<br />

Zoe.<br />

(8) 0 4D4V -11306NektfAt<br />

• ---r .ioce. re. '7, 0<br />

(.10.44.<br />

Waar)<br />

p.<br />

v.<br />

v. •<br />

•<br />

2.-SW a-11/4a a+sk 41/441<br />

9.11,Arop. "lis, 2.<br />

01.441<br />

Thus as a increases, 1P decreases but does so at a<br />

decreasing rate, i.e. the curve is concave upward as is<br />

shown below. .<br />

28

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