Manpower Allocation in Kingdom Management

[Hegel]

Manpower Allocation in Kingdom Management

 

Updated 11/1/09

 

 

 

We first consider 3 'facts' which I think are trivially provable, if not already intuitable:

 

 

 

1. Kingdom Management is worth doing

 

2. Rare Logs are not worth allocating resources for

 

3. The most efficient method is to spend 10 on the best resource and 5 on the second

 

 

 

Therefore the question is really asking which are the two best resources to allocate manpower to.

 

 

 

Bonuses complicate the calculation, so I shall first show that bonuses aside, the best two resources are fishes and flax, respectively.

 

 

 

Consider the ratio of GE Price : Cost to Obtain. We therefore obtain:

 

 

 

Coal - 177/91.6 = 1.932314

 

Flax - 86/40 = 2.15

 

Maple - 38/56.1 = 0.677362

 

Raw Tuna - 108/56.3 = 1.918295

 

Raw Swordfish - 419/189.4 = 2.212249

 

 

 

Now, raw tunas and raw swordfishes are not separable, but rather a combination of both are obtained from spending on fishes.

 

 

 

To take the minimum,

 

 

 

lim R(p+s) = 1.918295

 

P(t)/P(s)->infinity

 

 

 

where R and P denote the aforementioned ratio and percentage obtained, respectively.

 

 

 

Now, empirically, 3 < P(t)/P(s)< 4. Therefore, the true base is

 

 

 

lim R(p+s) = 2.052581

 

P(t)/P(s)->4

 

 

 

Which tops. So far we have 1. Fishes and 2. Flax.

 

 

 

We can use these figures to simplify the remaining calculation. For herbs, GE Price must be at least 2.052581*826.4 = 1,696.252938. This is intuitively not the case.

 

 

 

Q.E.D.

 

 

 

Clearly, for any resource R to usurp flax and/or fishes , a certain condition must be met. If we let f(x) = R(x) + C(x)[Ra(x)]^-1[Co(x)]^-1, where C, Co and Ra denote the cost of the bonus, cost of the resource and prevalence rate of the bonus, respectively, then f(Resource) > f(Flax/Fish).

 

 

 

We shall thus proceed to calculate f for each resource.

 

 

 

f(Coal) = 1.932314+ 7080/4/150/91.6 = 2.061135(Max)

 

f(Flax) = 2.15 + A(Flax)/600/40

 

f(Fish) = 2.052581 + 8380/6/50/56.3 = 2.548733 (Max for only counting caskets and gems)

 

f(Maple) = 0.677362 + 1900/56.1/100 + A(Maple)/56.1/100 = 1.095187 + A(Maple)/56.1/100

 

 

 

where A(x) denotes the average price of the bonus item of resource X, i.e. A(flax) = average cost of herb seed obtained and A(Maple) = average cost of tree seed obtained from nest.

 

 

 

Clearly, some manpower should be allocated to fishing

 

 

 

We consider maples and flax.

 

 

 

It takes about 2s to open and crush each nest

 

 

 

So we factor in (2/3600)*900K = 500 gp.

 

 

 

Changing the equation,

 

 

 

f(Maples) = 0.677362 + 1400/56.1/100 + A(Maple)/56.1/100 = 0.926916 + A(Maple)/56.1/100

 

 

 

Now maples are better than flax iff f(Maple) > f(Flax) i.e. f(Maple) - f(Flax) > 0

 

 

 

f(Maple) - f(Flax) = 0.926916 + A(Maple)/56.1/100 - 2.15 - A(Flax)/600/40 = A(Maple)/56.1/100 - A(Flax)/600/40 - 1.223084 > 0

 

 

 

So A(Maple)/5610 - A(Flax)/24000 > 0.91894

 

 

 

Now since A(Flax)/24000 is negligible, we reduce the inequality to A(Maple)/5610 > 1.223084 or A(Maple) > 6861.

 

 

 

So, unless the average tree seed you obtain is worth 6862 or above, do flax over maples.

 

 

 

Conclusion

 

 

 

Allocate 10 workers to fishing. If the average tree seed you get is worth 5156 or above, allocate the remainder to maples, otherwise, allocate it to flax.

 

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All calculations were made based on prices at time of writing. Significant price changes may affect the calculated outcome.

 

 

 

Feel free to post any comments/questions/corrections.

[CampbellMC]

Very nice, I will probably change my workers soon to 10 on fishing since most people have been saying to do that lately, and this proves it. I still dont know whether flax or maples are better. From each load of nests I usually get a couple yew seeds and a magic + some lower ones, because of this maple and flax are pretty much even.

[X Battousai]

Just a tip I discovered a while ago for nests. Unless this was nerfed, there is a way to get only the herb seeds you want i.e ranarrs and snapdragons, although it is very time consuming. This also is not abusing a bug/glitch in the game (to my knowledge, as the seeds you get are randomly generated). what you do is get all the nests in which you see green seeds, (i forgot if all the seeds look green in the nests or not lol), and fill your inventory with them. You will need a spot fo your ranarr and snapdragon seeds though. if you know about thieving from master farmers, you know that if you get a type of seed that oyu don't have, you don't get the seed and it does not eve go on the floor, so this also works with them too (Although it is still as rare to get the seeds, this jsut makes sure you get those seeds and don't miss the chance). once you invent is set up, search the nests, if a message box saying you did do not have room in your invent or something similar, you did not get the seed you wanted. If no box showed up, you got the seed you wanted. this helps get the seeds you want, but it is still as rare to get the seed, and time consuming (might take like 10 minutes per seed), so this method does not make money, (it helps get the right seeds you want, but is time consuming).

 

 

 

IF THIS METHOD IS ILLEGAL, I WILL REMOVE MY POST

 

 

 

I AM ALSO NOT SURE IF THIS IS ABUSING A GLITCH OR BUG!! ALTHOUGH I DOUBT IT AS IT IS STILL RANDOM AND TAKES A LONG TIME (ONLY GOOD IF YOU CANT MAKE 120K PER HOUR IMO) ALSO BORING AS HELL

 

 

 

ONCE AGAIN, THIS MAY ONLY BRING IN 120K PER HOUR (IF YOU GET ONE RANARR SEED EVERY 10 MINUTES, WHICH I THINK MAY BE TWICE AS LONG AS IT REALLY IS< ALTHOUGH I NEVER TRIED TO TEST THIS FOR RARITY!)

 

 

 

IF SOMEONE SAYS THIS IS ABUSING A BUG/GLITCH, I WILL REMOVE MY POST!!!!!!!!!!

 

 

 

sory for writing caps, i had to make that very important statement,

 

 

 

 

 

PS> I NEVER TRIED THIS METHOD< AND I FOUND IT BY ACCIDENT. I ALSO HAD NO INTENT ON ABUSING THIS GLITCH AND DO NOT RECOMMEND DOING THIS. I HAVE WARNED YOU

[Krazi]

Interesting guide, as I've had 10 on maples and 5 on fishing. :oops:

 

 

 

Guess I'll change that when I go collect today. Also, in my experience, the average tree seed is worth well over 5.1k, so I'll be gathering maples instead of flax. Great job on the guide! :thumbsup:

 

 

 

As for the above poster, how about putting a yew and magic seed in your inventory too? Papaya even?

[X Battousai]

Interesting guide, as I've had 10 on maples and 5 on fishing. :oops:

 

 

 

Guess I'll change that when I go collect today. Also, in my experience, the average tree seed is worth well over 5.1k, so I'll be gathering maples instead of flax. Great job on the guide! :thumbsup:

 

 

 

As for the above poster, how about putting a yew and magic seed in your inventory too? Papaya even?

 

 

 

 

 

never thought of those, I guess you could sue those (or only mage for insanely long yet huge profit lol)

 

 

 

of course, I still do not know if it is legal or not :ohnoes: If it isnt, I will edit my post, so remember it while you can :P

[Shelby_Polo]

I still like having 10 on maples, for the tree seeds, which equal great farming exp

[Myweponsg00d]

I still like having 10 on maples, for the tree seeds, which equal great farming exp

 

But, youre making less money. You may aswell make more money with fishing and then you can buy more tree seeds than what you wouldve gotten from maples.

[Krazi]

Interesting guide, as I've had 10 on maples and 5 on fishing. :oops:

 

 

 

Guess I'll change that when I go collect today. Also, in my experience, the average tree seed is worth well over 5.1k, so I'll be gathering maples instead of flax. Great job on the guide! :thumbsup:

 

 

 

As for the above poster, how about putting a yew and magic seed in your inventory too? Papaya even?

 

 

 

 

 

never thought of those, I guess you could sue those (or only mage for insanely long yet huge profit lol)

 

 

 

of course, I still do not know if it is legal or not :ohnoes: If it isnt, I will edit my post, so remember it while you can :P

So when you click on the nest, you either get one of the seeds in your inventory, or it tells you that you have no room and you can click again? 10 minutes for a ranarr seed shows how rare they really are. :shock:

 

 

 

Anyway, even just 2 magic seeds an hour would be ~300k profit. I might go give it a try.

[Hegel]

The nest tip can't work for herb seeds, since you get the herb seeds automatically and they do not come in nests

 

 

 

For tree seeds, I am quite sure the nests have a pre-assigned seed in them. So, no matter how many times you try, a nest that should have contained an acorn will never yield a magic seed.

[knight10071]

Nice guide, though I find it quite hard to follow the math due to the overload of variables and different functions.

 

 

 

If you'd like to, I could probably make a small program, which would automatically create a version with updated prices for the future. It would also enable to calculate the A(flax) and A(maples), if the probabilities are known.

[Hegel]

That would be nice, although I imagine it would be difficult to determine those variables

 

 

 

I have about 1K unopened nests; I will try to determine A(Maples) when I do open them. A(Flax)/24000 is quite insignificant, and so is unlikely to affect the calculated outcome (if it does there would be little difference anyway).

 

 

 

Considering how expensive some seeds are I think it is quite plausible for the average one to be worth 5K+.

[Fairness]

Nice guide, but I think I'll just do 10 fish 5 flax. Can't go wrong with that.

[Owned_Nex]

I do 10 fish 5 flax nowadays.

 

 

 

I used to do maples, however, I could never sell them. Although theoretically you MIGHT make more money off maples, but they can't be sold any higher than minimum.

[X Battousai]

The nest tip can't work for herb seeds, since you get the herb seeds automatically and they do not come in nests

 

 

 

For tree seeds, I am quite sure the nests have a pre-assigned seed in them. So, no matter how many times you try, a nest that should have contained an acorn will never yield a magic seed.

 

 

 

 

 

Um, yes... you can get herb seeds from bird nests i believe... and either way, just get a mage tree seed then. each nest willget you 150k min i guess lol

[verte]

Excellent post Chenjs2.

[aglips]

I do 10 fish 5 flax nowadays.

 

 

 

I used to do maples, however, I could never sell them. Although theoretically you MIGHT make more money off maples, but they can't be sold any higher than minimum.

 

 

 

I have mine maxed at maples and rest on flax and I've never had to wait a full day to sell the maples at market price. A lot of players buy the maples for FM training.

[Owned_Nex]

I do 10 fish 5 flax nowadays.

 

 

 

I used to do maples, however, I could never sell them. Although theoretically you MIGHT make more money off maples, but they can't be sold any higher than minimum.

 

 

 

I have mine maxed at maples and rest on flax and I've never had to wait a full day to sell the maples at market price. A lot of players buy the maples for FM training.

 

 

 

But even more maples are put into the market then the amount bought. IF a single player could produce about 20k a week, then imagine the amount of players doing it at the same time. GEtting to 99 FM really only takes 40k-60k maples.

[depresins]

I've done this for 13 days now.

 

 

 

1st Day, I recieved 458k worth of items, and a blue egg.

 

2nd Day, I recieved 420k worth of items, and a green egg.

 

11 Days later, I recieved 5450k worth of items, and a red egg.

 

 

 

Soo, at the cost of 75k per day, and the 2 minutes to teleport there and rake some weeds, I found that it was a fantastic way to make money, all because of this guide. I had 10 on fishing, and 5 on maples.

 

 

 

If you can go without the 750k daily, and WAIT AT LEAST 10 DAYS before removing your resources, I find this is a fantastic way to make money.

[aerendil]

Wow nice guide! =D> =D> I'm going to go and do those two quests very soon, Today!!!!

 

 

 

 

 

Meamzed

[Ddude42]

Great guide. I bookmarked this months ago, and decided to bump it so it can hopefully be discovered by everybody else.

[brainymidget]

I think I might make a GoogleDocs for this :)

[JoeDaStudd]

The thing is I could look at that then try to apply the current GE prices to each equation then compare the results to get the result.

 

Or I could look at a guide/speadsheet/graph like mine or one of there various others and instantly see which one to use.

 

 

 

There is a lack of working out too.

 

The math for the average seed value is based on about 10 variable values being averaged out based the chances of getting the seed added to the average value of the ring drops all added to the the costs of a birds nest.

 

Same goes for the fishing extras, the herb/flax extras and the other hardwood extras.

 

 

 

ATM I've calculated its currently flax then fishing for the workers.

 

 

 

The true maths are too complex and too variable to be of much use for the average user.

[Lep]

I've never really done this before. What is it basically? Just put workers on something after inserting 750k and every morning I wake up, I visit the place and help for 5 minutes?

[Hegel]

I put a few million in coffers, assign workers to doing the most profitable tasks, and visit the place every week to keep approval up (takes under a minute with Frem boots 3). Of course, you can put as much money as you want as long as 750K < your coffers < 7.5M. You may also regain approval as often as you please.

 

 

 

Just a note, I haven't had the chance to update this in a while, and seeing as there are other guides around now, you should refer to them over this.

 

 

 

See:

 

viewtopic.php?f=180&t=780464

 

http://runescape.wikia.com/wiki/Calculators/Miscellania

 

 

 

N.B.: For the latter, they do not take into account secondaries such as seeds and so can be very misleading.