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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

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0<br />

(3.6.A) (3.6.B)<br />

Q 2<br />

Fig. 3.6 -- Two .Mode Models<br />

being transported from Market A to Market B; Q l traveling by Mode One<br />

and Q 2 by Mode Two. As in most market situations this solution may<br />

be viewed as the result of an arbitrage process with each consumer<br />

(shipper) constantly striving <strong>for</strong> the least cost source of supply. It<br />

should be noted that if a capacity limit had not been imposed upon<br />

Mode One it would have carried all the traffic, in this case Qi and no<br />

modal-split would have occurred.<br />

Figure 3.6.B represents a situation where transport rates are no<br />

longer assumed constant. The industry supply curves <strong>for</strong> the two modes<br />

of transportation are represented by S 1 and S 2 . These curves are added .<br />

set equal to the demand <strong>for</strong> transportation. The competitive solution<br />

results in a traffic split of Q l and Qo - Q l ■ Q 2 , with transport rates •<br />

-r<br />

equalized at Tr. The diagram shows that a competitive modal-split will<br />

occur only if S t is upward sloping and, at its point of intersection<br />

Q0<br />

horizontally to obtain a total supply of transportation which is then<br />

44

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