User:Tab./Puzzle Time!

What is the maximum possible efficiency (health per energy) of Mending at 14 healing and 0 divine favor, assuming that the regen would never take your health above its maximum?
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 * 1) 23.999... or 24 -Mike 17:25, 17 June 2008 (EDT)
 * 2) 42  God  box    17:33, 17 June 2008 (EDT)
 * 3) (Your answer here)
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Highlight the text below to see the answer. The maximum efficiency of Mending is 24 health per energy spent.

Proof:

call the efficiency e cost of mending = 10+(t/3) energy healing from mending = 8t

e=8t/(10+(t/3)) or: e = 24t/(30+t)

finding the maximum efficiency: e=24t/(30+t) is a bilinear equation with asymptotes: t (x axis) = -30 (30+t = 0) and e (y axis) = 24 (24t/t) and an x intercept of t = 0 for all positive values of t, which are all that can occur, e increasingly tends towards 24. thus mending can not exceed an efficiency of 24 health per energy, and it will reach this efficiency when t has a value of infinity. the minimum efficiency is when t = 0, in which case: e = 0/30, or simply 0 thus the possible efficiencies of mending are defined by 0 >= e =< 24.
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