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

mileages. The reason why this ratio was related only to the leg Chicago-
Pekin of the Illinois River is simple. Since no country elevators used
a transshipment point on the river lower than Pekin, the cost of water
transportation from Pekin to New-Orleans could be considered as a fixed
cost. Then the water transportation cost to New-Orleans from a point
X 2 on the river could be computed as
L wb + N p + Cwb$w(Xp - X 2 )
where N is the cost of transportation from Pekin to
P New-Orleans which is constant,
•
w
is the ratio discusied in the above paragraph,
X is the distance along the Chicago -Lacon axis between
P Pekin and Chicago,
X 2 is the point of origin on the same axis,
C wb is the coefficient of the regression of the
water rates to Pekin from points between Chicago
and Pekin as given in Table XII,
L wb is the usual fixed cost, which is the sum of the
intercept of the regression just mentioned and other
fixed fees (see Chapter III).
Finally, for the road leg of the combined road-water transportation,
only the regression coefficient of (11) was used to convert millimeters into
actual road miles. The intercept term was not introduced because of the
shortness of the road leg and also because it essentially corresponds to
the characteristics of the road network leading to Chicago.
as an example,
- -
became
(12) P
a
- C0 (X
t o o
2 + Y 2 ) 1 -L -a
r
r r
Ni
'
P
b
- Ct0.t[(X2 ... X
o
) 2 + Y
o
-1 -L - L .. N - C $ (X -
t wb p wb w p \
X ) + E
2 21
\ .
s.t. X - X
Cwb w rYo l
2
2 2
.
.(C
t
fit - - c
2 2 1
wb Bw )
- - and X o , X 2 % 0
With all these modifications, the basic water-rail boundary equation,
a
94