| 1 |
Even if you define the total metal income, the question is _still_ inadequately defined since the size of the individual mex matters to energy overdrive.
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1 |
Even if you define the total metal income, the question is _still_ inadequately defined since the size of the individual mex matters to energy overdrive.
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| 2 |
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2 |
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| 3 |
So I will proceed under the assumptions that:
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3 |
So I will proceed under the assumptions that:
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| 4 |
* All metal extractors owned by the team have the same base income.
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4 |
* All metal extractors owned by the team have the same base income.
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| 5 |
* All metal extractors are gridded to the singus
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5 |
* All metal extractors are gridded to the singus
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| 6 |
* All of the energy from the three singus, and no other energy, is available for overdrive
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6 |
* All of the energy from the three singus, and no other energy, is available for overdrive
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| 7 |
* 15 magpies rearm at a time; of the [b]minimum-total-time[/b] solutions for rearming 60 magpies at 16 individual pads, only using 15 at a time maximises the metal overdrive income (proving this is left as an exercise for the reader).
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7 |
* 15 magpies rearm at a time; of the [b]minimum-total-time[/b] solutions for rearming 60 magpies at 16 individual pads, only using 15 at a time maximises the metal overdrive income (proving this is left as an exercise for the reader).
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| 8 |
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8 |
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| 9 |
Let X be the number of metal eXtractors owned by a team and let M be the base metal income from each of those extractors. Let E (=3*225=675) be the energy income per second available for overdrive or Magpie rearming. Let A (=60) be the number of mAgpies. Let P (=15) be the number of individual Pads available.
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9 |
Let X be the number of metal eXtractors owned by a team and let M be the base metal income from each of those extractors. Let E (=3*225=675) be the energy income per second available for overdrive or Magpie rearming. Let A (=60) be the number of mAgpies. Let P (=15) be the number of individual Pads available.
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| 10 |
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10 |
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| 11 |
An individual Magpie rearms for 12 seconds and requires 10 energy/s, so the Time required for all of the Magpies to rearm is
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11 |
An individual Magpie rearms for 12 seconds and requires 10 energy/s, so the Time required for all of the Magpies to rearm is
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| 12 |
T=12*A/P=48
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12 |
T=12*A/P=48
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| 13 |
and the energy Cost per second during that time is
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13 |
and the energy Cost per second during that time is
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| 14 |
C=10*P=50
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14 |
C=10*P=50
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| 15 |
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15 |
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| 16 |
As per http://zero-k.info/mediawiki/Overdrive the overdrive metal generated per second with no rearming occurring is:
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16 |
As per http://zero-k.info/mediawiki/Overdrive the overdrive metal generated per second with no rearming occurring is:
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OD1=0.25 * X * M * sqrt(E/X)
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17 |
OD1=0.25 * X * M * sqrt(E/X)
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while the overdrive metal generated per second while the Magpies are rearming is:
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18 |
while the overdrive metal generated per second while the Magpies are rearming is:
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| 19 |
OD2=0.25 * X * M * sqrt( (E-C) / X )
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19 |
OD2=0.25 * X * M * sqrt( (E-C) / X )
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| 20 |
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20 |
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| 21 |
Taking the difference between these and multiplying by the time spent rearming yields the desired quantity.
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21 |
Taking the difference between these and multiplying by the time spent rearming yields the desired quantity.
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| 22 |
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22 |
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| 23 |
---
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23 |
---
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| 24 |
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24 |
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| 25 |
Let's take a few examples with about the same amount of metal extractors:
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25 |
Let's take a few examples with about the same amount of metal extractors:
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| 26 |
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26 |
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| 27 |
[b]About half the mex on Storm Siege (X=50, M=1.79):[/b]
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27 |
[b]About half the mex on Storm Siege (X=50, M=1.79):[/b]
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| 28 |
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| 29 |
The mex themselves produce 89.5 mex metal/s, so 4296 metal in 48 seconds. (Unaffected by the magpies of course, but useful for perspective.)
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29 |
The mex themselves produce 89.5 mex metal/s, so 4296 metal in 48 seconds. (Unaffected by the magpies of course, but useful for perspective.)
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| 30 |
With no rearming, overdrive produces 82.2 metal/s, so 3946 metal in 48 seconds.
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30 |
With no rearming, overdrive produces 82.2 metal/s, so 3946 metal in 48 seconds.
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| 31 |
While the Magpies are rearming, overdrive produces 72.5 metal/s, so 3480 metal in 48 seconds.
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31 |
While the Magpies are rearming, overdrive produces 72.5 metal/s, so 3480 metal in 48 seconds.
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| 32 |
So rearming the Magpies cost about 466 metal; about 5.5% of the 8242 metal the metal extractors and overdrive were producing in that time.
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32 |
So rearming the Magpies cost about 466 metal; about 5.5% of the 8242 metal the metal extractors and overdrive were producing in that time.
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| 33 |
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33 |
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| 34 |
[b]About half the mex on Comet Catcher (X=39, M=2.28):[/b]
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34 |
[b]About half the mex on Comet Catcher (X=39, M=2.28):[/b]
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| 35 |
\n
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35 |
\n
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| 36 |
In this case the base mex produce 4268 metal, and overdrive produces 4439 metal. Rearming the Magpies takes 524 out of the overdrive; slightly over 6%.
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36 |
In this case the base mex produce 4268 metal, and overdrive produces 4439 metal. Rearming the Magpies takes 524 out of the overdrive; slightly over 6%.
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| 37 |
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37 |
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| 38 |
[b]Bonus question: what if there is only one singu on Comet Catcher, so E=225?[/b]
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38 |
[b]Bonus question: what if there is only one singu on Comet Catcher, so E=225?[/b]
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| 39 |
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39 |
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| 40 |
Now the base overdrive yields 2563 metal, of which 1083 (!) is lost by rearming the magpies; over 15% of the original income.
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40 |
Now the base overdrive yields 2563 metal, of which 1083 (!) is lost by rearming the magpies; over 15% of the original income.
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| 41 |
\n
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41 |
\n
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| 42 |
Moral
of
the
story:
As
you
put
energy
into
overdrive,
each
unit
benefits
you
less
and
less.
As
you
take
energy
OUT
of
overdrive,
each
unit
costs
you
more
and
more.
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42 |
Moral
of
the
story:
As
you
put
energy
into
overdrive,
each
unit
of
energy
benefits
you
less
and
less.
As
you
take
energy
OUT
of
overdrive,
each
unit
of
energy
costs
you
more
and
more.
|
Math Problem (RESTRICTED FOR AIR PLAYERS ONLY)