Xarxos writes down Z'kron's question and starts drawing diagrams.
On the paper:
http://static.flickr.com/118/299160478_0fbdb15e0f_o.jpg
"From what I can determine, we have the following pattern:
1 carrot requires 25 CU
2 carrots require 40 CU. An increase of 15 CU
3 carrots require 52.5 CU. An increase of 12.5 CU
4 carrots require 64 CU. An increase of 11.5 CU
5 carrots require 76.5 CU. An increase 12.5 CU
6 carrots require 88 CU. An increase of 11.5 CU
and so on and so forth.
Hence, 200 carrots of diameter 1 CU will require 2416 CU or 2.416 geographical units. "
He procceeds to scribble some more, grabbing more paper when he reached the end of the page:
Fresh Market types:
Minimum = 3/4 x 2.416 = 1.812 geographical units.
Average = 1 x 2.416 = 2.416 geographical units.
Maximum = 1 1/4 x 2.416 = 3.020 geographical units
Processing:
Minimum = 2 x 2.416 = 4.832 geographical units
Average = 2.5 x 2.416 = 6.040 geographical units
Maximum = 3 x 2.416 = 7.240 geographical units.
In 100 geographical units,
one could conceivably grow:
8332 carrots of diameter 1 CU. By reversing the above method for calculating units/carrot, we can work out carrots/ units. The above figure of 8332 carrots has been rounded down.
or
Fresh Market types:
Minimum = 8332/ 1 1/4 = 6665 carrots
Average = 8332/ 1 = 8332 carrots
Maximum = 8332/ 3/4 = 11,109 carrots
Processing:
Minimum = 8332/ 3 = 2777 carrots
Average = 8332/ 2.5 = 3332 carrots
Maximum = 8332/ 2 = 4166 carrots.
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This means that the revenue resulting from these carrots are:
Fresh Market types:
Minimum = 6665 x 0.4 = 2666 crowns
Average = 8332 x 0.4 = 3332 crowns 8 silver
Maximum = 11,109 x 0.4 = 4443 crowns 6 silver
Processing:
Minimum = 2777 x 0.3 = 833 crowns
Average = 3332 x 0.3 = 999 crowns 6 silver
Maximum = 4166 x 0.3 = 1249 crowns 8 silver.
The information regarding tonnes per GU of the two different carrots has been disregarded due to being irrelevant when the carrots are sold at price per carrot and not price per tonne.
We can see that Fresh Market types bring in more revenue than Processing carrots.
"Umm.. there's a problem. The revenue brought in by the Fresh Market carrots appear to be higher than the Processing carrots. However, I don't know what the costs of raising the two of them are, so I can't exactly which is more profitable."