Figure A-3. Hauling Routes and Average Location of Poultry 

 Relative to Road Network. 



can be accomplished along either of these radial roads, this must mean 

 that the average location of the poultry is half way hetween a radial 

 road and a line which hisects the distance hetween two radial roads. 

 Point W in Figure A-3. 



The location of Point W in miles from the plant hears a definite 

 relationship to the radial distance of Circle P, and the lateral distance 

 in from Road I. The circumference of Circle P, the average pickup circle, 

 is 27rr, so the segment of this circle serviced by Road I in the northeast 

 quadrant is one-eighth of that or V^TTr. However, the lateral distance 

 into Point W is one-half of that so is equal to %7rr. Adding this to the 

 radial distance of Circle P yields %7rr -(- r as the distance from the plant 

 to Point W. This yields 0.3927r+r, or road distance to Point W is 1.3927 

 times radial distance. 



To test this model under New Hampshire conditions an area sur- 

 rounding Concord was studied (Figure A-4) . On a road map of the area 

 a sample of locations was specified and road and radial distances to Con- 



41 



