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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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not all shipper costs are received as revenue by the transport industry,<br />

it is not the average revenue curve <strong>for</strong> Mode Two. That latter curve<br />

is derived by subtracting the associated cost function vertically from<br />

the derived curve XYZ to yield UVW.<br />

In Fig. 3.B.2 we have included a supply curve <strong>for</strong> Mode Two and il-<br />

lustrated the market solution in the same manner as in Fig. 3.7. The<br />

average revenue curve <strong>for</strong> Mode Two is also included to illustrate that<br />

it does, indeed, show the revenue received by that mode.<br />

Fig. 3.B.2 -- The Two Mode Associated Cost Model<br />

a,b<br />

We now continue with the derivation of the elasticity of Mode Two's<br />

average revenue curve. Given the average revenue curve as defined by<br />

equation (3.B.9), its elasticity will be<br />

-1<br />

<strong>Q2</strong><br />

F'(<strong>Q2</strong> ) 1 <strong>Q2</strong> Ct(Q 2 ) C(<strong>Q2</strong> ) <strong>Q2</strong> <strong>Z2</strong>,(Q 2 ) <strong>Z2</strong>(<strong>Q2</strong>) -1<br />

(3.13.10) E2 ■ Fin<br />

"2' C(<strong>Q2</strong> ) F(<strong>Q2</strong>) Z 2 (Q 2 ) F(<strong>Q2</strong> )<br />

67

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