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Math IA - Optimal Roof - Need help


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So far for my math IA, I've come up with the following: I will research individual countries' economic and weather conditions. Using personally made formulas to calculate a weather score and economic score for the countries, I will pinpoint which roof is best for that country, then I will test out the top few picks by 3d printing them and testing them with weights and etc, and find the best overall roof. Basically I have no idea how I'll do this and I don't know the HL math that will be used in this process, and I'm wondering if I'm over-complicating it.

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