Re: Galaxy: MAT question

From: Brian Greenfield <not-for-replies@dtseven.demon.co.uk>

Date: Wed, 19 Apr 2000 00:00:00 +0000

On Wed, 19 Apr 2000 09:38:25 +0200, Roland Scholz
<scholz@pb.izm.fhg.de> wrote:

>Brian Greenfield wrote:
>>
>> On Mon, 17 Apr 2000 12:25:20 +0200, Roland Scholz
>> <scholz@pb.izm.fhg.de> wrote:
>>
>> >on a typical homeworld in Galaxy(Standard, NG or Blind), I
>> >can build a ship with mass 99.01, if I don't have any MAT on
>> >this planet. If I have enough MAT, I can build a mass of
>> >100. What is the correct formula to calculate the mass, that
>> >can be produced on a planet, when there is a given amount of
>> >MAT?
>>
>> It's just Ie/10, isn't it?
>>
>> Where
>>
>>     Effective industry, Ie = 0.75I + 0.25P
>>     I = Industry
>>     P = Population
>>
>> Assuming there's sufficient MAT, of course.
>Sorry, my english isn't very well. I want to know the formular, if
>you have a given amount of MAT,

It's simpler if you consider three separate cases:

1) A planet with at least 1 MAT per tonne of ship you wish
   to build.

M = Ie/10

For a fully industrialised, standard homeworld
   (POP, IND = 1000; R = 10)

M = 1000 / 10 = 100

2) A planet with no MAT.

Ie
   M = --------
       10 + 1/R

At the homeworld

1000      1000
   M = --------- = ---- = 99.01
       10 + 1/10   10.1

3) A planet with some MAT, but not enough to complete the
   ship.

For the first MAT tonnes of ship, we don't need any extra
   MAT to be built:

10*MAT
   M1 = ------ = MAT
          10

Which leaves Ie - 10*MAT production points left, which
   must be split between production of ship and MAT.

Ie - 10*MAT
   M2 = -----------
         10 + 1/R

The maximum mass that can be built is M1 + M2

Ie - 10*MAT
   M = MAT +  -----------
               10 + 1/R

Which simplifies to

Ie + MAT/R
   M = ----------
        10 + 1/R

Or, you may prefer an alternative form

R*Ie + MAT
   M = ----------
        10R + 1

Case 3 does not apply generally, because the maximum mass of
a ship is limited to the effective industry.

( Ie + MAT/R  Ie )
   M = MIN ( ----------, -- )
           (  10 + 1/R   10 )

>i.e.:
>planet size: 1000
>planet resources: 10
>planet population: 600
>planet industrie: 500
>MAT on planet: 250

Since MAT > Maximum ship size that can be built on that
particular planet case 1 applies:

POP = 600
  IND = 500
    R = 10

Effective industry, Ie = 0.75IND + 0.25POP = 525

Max ship, Ms = Ie / 10 = 52.5

>How much mass can be built on such a planet?
>or
>planet size: 1000
>planet resources: 10
>planet population: 1000
>planet industrie: 1000
>MAT on planet: 25
>How much mass can be built on such a planet?
>Regards,

A much more interesting example.

POP = 1000
  IND = 1000
    R = 10
  MAT = 25

Ie = .75*IND + .25*POP = 1000

( Ie + MAT/R  Ie )
   M = MIN ( ----------, -- )
           (  10 + 1/R   10 )

( 1000 + 25/10  1000 )
     = MIN ( ------------, ---- )
           (  10 + 1/10     10  )

( 1002.5      )
     = MIN ( ------, 100 )
           (  10.1       )

= MIN ( 99.26, 100 )

= 99.26

I hope I've understood and answered your question this
time:)

Roland, there's no need to CC me, I'll read any replies
here.
--
You're reading this in a newsgroup because that's where I posted it.
That's where I'd like to read your reply too.   DON'T MAIL AND POST!

But, if you really want to reply by email, my reply-to *IS* valid ;)

References

Galaxy: MAT question
Roland Scholz <scholz@pb.izm.fhg.de>
Mon, 17 Apr 2000 00:00:00 +0000
Re: Galaxy: MAT question
Brian Greenfield <not-for-replies@dtseven.demon.co.uk>
Mon, 17 Apr 2000 00:00:00 +0000
Re: Galaxy: MAT question
Roland Scholz <scholz@pb.izm.fhg.de>
Wed, 19 Apr 2000 00:00:00 +0000

Referenced By

Galaxy: MAT question
Roland Scholz <scholz@pb.izm.fhg.de>
Mon, 17 Apr 2000 00:00:00 +0000
Re: Galaxy: MAT question
Brian Greenfield <not-for-replies@dtseven.demon.co.uk>
Mon, 17 Apr 2000 00:00:00 +0000
Re: Galaxy: MAT question
Roland Scholz <scholz@pb.izm.fhg.de>
Wed, 19 Apr 2000 00:00:00 +0000