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I thought the last statement asked if the sum of two of the other products could surpass the dollar value of sugar exports
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GuiguiECL
If the dollar value of sugar exports remained constant for the five years after 2011, while all other products continued to grow at their respective average annual percentage rates (as given in the last column), the dollar value of exactly two products would surpass that of sugar exports by 2016.


I thought the last statement asked if the sum of two of the other products could surpass the dollar value of sugar exports

Why? Does the statement use the word "sum" or any equivalent?
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I misunderstood the last question but given that there is no function called like "sum", I can now catch more easily the sens of future questions as this one.

Thank you a lot !

Bunuel
GuiguiECL
If the dollar value of sugar exports remained constant for the five years after 2011, while all other products continued to grow at their respective average annual percentage rates (as given in the last column), the dollar value of exactly two products would surpass that of sugar exports by 2016.


I thought the last statement asked if the sum of two of the other products could surpass the dollar value of sugar exports

Why? Does the statement use the word "sum" or any equivalent?
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Hi, is there any shorter way to do this. It took me more than 5 mins to get it right! Bunuel
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Hi Isha2701,

Great question! 5 minutes on a hard TA question with 3 complex statements is understandable, but here are shortcuts to cut that down to ~3 minutes:

S1 SHORTCUT (~30 seconds): The Average Annual % Change is ALREADY in the last column — just scan for the max: Wheat at 61%. For total % increase, only products with very high annual growth can compete. Quick mental check: Wheat went from 64 to 699 (~10x), Rice went from 60 to 613 (~10x). Wheat's is slightly higher in both. No need to compute all 13 products — only the top 2-3 annual growers are candidates. Done. True.

S2 SHORTCUT (~90 seconds): Don't compute individual product percentages. Just add up the group totals for 2006 and 2011.
- Non-animal 2006: 60+64+247+482+2953+61679,973
- Non-animal 2011: 613+699+345+2716+8026+1494227,341
- That's roughly 2.7x growth (~174% increase)
- Animal 2006: 30+71+89+139+1022+3472+38908,713
- Animal 2011: 110+161+492+98+1416+8073+507715,427
- That's roughly 1.77x growth (~77% increase)
Non-animal wins easily. True.

S3 SHORTCUT (~60 seconds): Sugar stays at 14,942. Key Insight: Eliminate immediately — any product below 2,000 in 2011 with less than 41% growth cannot reach 14,942 in 5 years. Only check the realistic candidates:
- Coffee: 8,026 × 1.22^58,026 × 2.721,670 — YES, surpasses
- Poultry: 8,073 × 1.18^58,073 × 2.2918,487 — YES, surpasses
- Corn: 2,716 × 1.41^52,716 × 5.514,938 — borderline but essentially ties/surpasses
- Beef at only 5% growth? No chance.

Three products surpass sugar, not exactly two. False.

The key time-saver: ELIMINATE before you calculate. For S1, only check top growers. For S2, use group totals not individual percentages. For S3, only check products that are realistically close to sugar's value given their growth rates.

Answer: True, True, False
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