This isn't a GURPS question itself, but it's something which impacts a
GURPS-related project I'm working on.  I need pointers on some math.

Let's say there's a resource being created more or less uniformly over
a large area.  It could be food, coal, mana, or whatever.  That
resource must be consumed in order to move it:  horses drawing a cart
have to eat the same grain they're hauling, trains hauling coal also
burn coal, etc.  I know how fast the commodity in question can be
created (say, a coal mine digs up x tons of coal a day), and how much
of it is consumed when transported (a train can carry x tons of coal
at a cost of y tons per mile).

Figuring out the maximum range for shipping the commodity (that is,
the range at which the cost of transport equals the quantity
available) is easy.  What I'm looking for, though, is the next step: 
How can I figure out how much of that resource can be shipped to a
central point?  If, say, mana pools scattered all over a region
produce x points of mana a day, which can be pumped through magical
pipelines at a cost of y points of mana per mile, how many points of
mana can be piped to a city or temple at the center of a region with a
radius of x/y miles?



--
My wife's food blog is quite interesting:
http://thehappysorceress.blogspot.com
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