Atronite
2006-11-21 |  | Little Math Problem |  |
Ok, I need you math geniuses out there to help me find an equasion.
Suppose you start out with 1 billion cash, and a net income of 10 million credits a turn (a nice round number ;))
Now suppose that one day, you decided you build fodders until you weren`t making any more cash. Let us suppose that you also wanted to build a roughly equal amount of both types of fodders in terms of turns, so if you wanted to build 5000 turns worth of small fodders, you would also build an equal number of turns worth of large fodders.
How many fodders of each kind would you have to build before you weren`t making a positive income any more, and how much cash would you end up with? Assume that you build 9000 large fodders at a time, and 34,200 fodders at a time. Give the equation that you would use to solve this problem.
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Deiloche
99+ day(s) ago | I built a calculator for fleet building, Atronite... unfortunately, it`s done in excel, so it requires a bit of tweaking here and there... been meaning to code it in C, but haven`t had the motivation to do that. As for the equation... it`s quite simple. Split the problem into parts. Treat one turn of ssf and one turn of lsf as one entity, combine their upkeep costs and credit costs, and set the build requirement for this entity at two turns. The easiest way to determine the cost of each turn is how I did it, by propagating each turn expenditure through a spreadsheet. Adding your net total upkeep spent and your total credits spent on buying ships together will get you your gross cost... (though you will probably want to factor in minerals, I don`t as I built the calculator for miners, who don`t notice that the mineral market exists unless they are selling) as for your gross credits, you simply multiply turns expended by your income, add your starting total, and subtract your gross cost.
If you want the spreadsheet I made, PM me on any server of your choice... though I wouldn`t suggest normal, as my PM light doesn`t work there. :P Unfortunately, the spreadsheet only has a limited selection of a.miner and viral ships in it, but it can be easily modded. You do need to know the basics of excel formula use, though, as to change the ship being calculated you have to change the reference cell location. |
ForumPostingEntity
99+ day(s) ago | At, take stephenomathematics into consideration. Always build smallest amounts possilbe (eg, 342 fodders). Otherwise, you double your upkeep costs during the building. If you build 100-turns worth of fodder GC bills you for their upkeep in advance...
And if you`ve got lots of BTCs to use up and server is asleep, PM me in RT, i know a good way of dealing with that. |
Atronite
99+ day(s) ago | for a UW or whatever |
Atronite
99+ day(s) ago | the reason for asking is that I am trying to figure out how much cash reserve you`d end up with before you start to build the real ships that will start sapping your cash..... |
Atronite
99+ day(s) ago | well, if you had a lot of BTCs to use up on a turn-based server when everyone is asleep, this would be a relavant question actually.......
And how much cash would you end up with in your reserves once you hit zero income? A rough estimation to the nearest billion is fine. |
Gornach
99+ day(s) ago | There are to many things that could happen, in the amount of time needed, that you can't count for. Like being attacked at any given time and what loses that would bring, so why even bother to try ? |
species382
99+ day(s) ago | may, mathematica rules, e4thing else su.cks |
WarpSpeed
99+ day(s) ago | for large
[(SUM(1 to 99) of 90N times 5) + (9000 times 2,035)] times 111.11 |
species382
99+ day(s) ago | Lets assume, you spend equal turns on building small and large fodder.
As already mentioned, the upkeep limits the total number of turns "X" you can spend::
10*10^6=X*(342*1+90*5)/2
=>X=2*10^7/(342*1+90*5)=25.252 turns
That makes a
Number of small fodder X/2*342=4.318.092
Number of large fodder X/2*90=1.136.340
or a pr of 254 million.
Number of total money available: M=10^9+X*10^7=253 billion
Cost of building:X*(342*535+2035*90)=9 billion
Cost of upkeep:
For estimating the upkeep, lets take the upkeep averaged of large and small fodder Y=(342*1+90*5)/2.
Further assume, you allways build the ships single round after single round (minimizes the cost,
stephen is not good at math) If you build for X truns, you have to pay
X*(X+1)/2*Y=252 billion
So after subtracting the build and upkeep cost, your money account has this left:
-8 billion
of course without paying (or finding!!!) the required strafez minerals....
X/2*(2*342+90*10)=20 million makes another 20 billion costs....
and the joke cost you X*8/60/60/24=2.6 days of continously playing RT and building strafez (booooooring)
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By the way, thats quite clsoe to the fleet, which would you bring to a black zero money-level. For latter, you have to build only for
10^9+X*10^7=X*(X+1)/2*(342*1+90*5)/2+X*(342*535+2035*90)
=>X=24.430 turns,
so only 600 turns less than previously.
cu l8er |
mallow
99+ day(s) ago | is that so the upkeep is greater than $10 mil |
Darkshot
99+ day(s) ago | I didn`t quite understand what you`re trying to say, but use this summation formula of an arithmetic progression to find out, lol:
Sn = [(A1 + An) * n] / 2 |
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