Here are the preliminary results. I am still working on them:
Metallurgy - Cost: approx. 1500g
16turns 70gpt -93gpt 1488g
29turns 110gpt -53gpt 1537g
Physics - Cost: approx. 1600g
19turns 70gpt -93gpt 1488g
Code:
X = has that tech
Civ Physics Metallurgy Treasury Era
England 10g Middle
France X X 0g Industrial
Russia X 0g Middle
Babylon X X 272g Industrial
Zulus 21g Middle
Rome 4g Middle
Greece X X 1294g Industrial
America X X 31g Middle
Iroquois X 341g Middle
China X X 0g Middle
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Persia X X 0g Industral
India X X 0g Middle
France
Metallurgy for WM, 38gpt, (628g OR 551g + ROP)
(This deal costs us 1388g total w/out the ROP)
Peace + Metallurgy for WM 38gpt, (498g OR 418g + ROP)
(This deal costs us 1258g w/out the ROP)
Physics for WM, 73gpt, (197g OR 120g + ROP)
Peace, Physics for WM, 70gpt, (113g OR 33g + ROP) (1433g total)
Act of Desperation: Peace, Phsyics, for our only source of ivory and wines, 28gpt, 11g. (We would have to deal with any possible unhappiness)
Russia
Metallurgy for Gems, Dyes, WM, 38gpt, 250g. (1010g total)
China
Peace, Physics for Spices, 46gpt, 247g (1167g total)
Metallurgy for Spices, WM, 45gpt, 217g (1117g total)
Peace, Metallugy for Spices, WM, 38gpt, 182g (948g total)
Note: An ROP does not change this deal
Peace, Metallurgy and Physics together far exceed 100gpt!
Note - Since Russia and the Iroquois do not have Physics, we can trade those to them for possible techs, or even extra gold! The Zulus and Rome also don't have physics, but are losing ground fast.
Approx. cost of Physics and Metallurgy per our own research: 3100g
Cost for trades: -
Current Treasury: 163gpt, 644g
Remaining Treasury: -
(results are still coming)
Zulus - They would pay 3gpt, 20g, WM and TM for economics or chem. (I'd pick econ.) But, the Zulus only have 4 cities left, and are at war with Rome and Persia.
Here's something else to note. England is behind in techs, and France has cavalry. Should we help England to prevent a French attack on them? If France were to conquer England, that will change the balance of power in that region of the world. I also recommend that we trade for physics first, since it will be more valuble to most civs (not everyone has it), and we can probably get mil. trad. in there somewhere. Russia also wants two of our gems. That could be a bargaining point for any other techs they might have.
Keep in mind that the Iroquois have 341g (which would knock the total cost of both techs off a bit). I really think we need to stop warmongering for a bit and CAREFULLY watch any treaty-less nations waltzing through our borders. Even though we want to take Russia, we have to take into consideration the fact that we're about to fall critically behind in techs. Russia may even have Cossacks already, and we could USE them against Babylon to rid the culture threat.