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Difficulty: HardResolving Paradoxes and Discrepancies

In 2022, a major timber enterprise operating across Region Z replaced its entire fleet of diesel-powered logging machinery with advanced autonomous electric harvesters designed to eliminate direct tailpipe emissions and optimize cutting paths. Following the complete transition, the enterprise reported a 40 percent reduction in carbon emissions per ton of timber harvested. However, during the two years following the equipment replacement, the enterprise's total annual operational carbon emissions across Region Z actually increased by 15 percent.

Which of the following, if true, most helps to resolve the apparent discrepancy described above?

  1. The operational efficiency and reduced per-unit harvesting costs of the new electric fleet enabled the enterprise to expand logging into previously cost-prohibitive tracts, resulting in a more than 90 percent increase in the total volume of timber harvested annually.Answer
  2. B
    Competitor logging firms in Region Z that retained traditional diesel machinery experienced an average 20 percent increase in total annual operational carbon emissions during the same period.
  3. C
    The industrial manufacturing process required to build the autonomous electric harvesters generated substantially higher carbon emissions than the production of conventional timber machinery.
  4. D
    Local environmental authorities in Region Z heightened regulatory scrutiny and increased financial penalties for industrial carbon output during the two-year post-implementation window.
  5. E
    During the same two-year period, the municipal electrical grid supplying Region Z transitioned a major portion of its energy generation from coal power to renewable hydro energy.

Answer

The correct option is the one stating that the operational efficiency and reduced per-unit harvesting costs enabled the enterprise to expand logging into previously cost-prohibitive tracts, resulting in a more than 90 percent increase in total annual timber volume.
The correct answer reconciles the rate-versus-total discrepancy by introducing a scale effect. Total emissions are the product of emissions per unit and total units produced. If emissions per ton decrease by 40% (meaning emissions are 60% of their former level per ton), but total volume harvested increases by more than 90%, total operational emissions will equal 0.60×1.90=1.140.60 \times 1.90 = 1.14 (a 14% or greater increase). This explains how both facts stated in the passage remain completely true simultaneously.

Step-by-Step Solution

1
Identify the two contradictory facts in the stem.
Fact 1: Carbon emissions per ton of harvested timber decreased by 40%.
Fact 2: Total annual operational carbon emissions increased by 15%.
Resolving a paradox requires finding an explanation that allows both facts to be simultaneously true.
2
Analyze the mathematical relationship between rate, total volume, and total emissions.
Total Emissions=(Emissions per Ton)×(Total Tons Harvested)\text{Total Emissions} = (\text{Emissions per Ton}) \times (\text{Total Tons Harvested}).
If the rate (Emissions per Ton\text{Emissions per Ton}) drops to 0.600.60 of its baseline, Total Emissions\text{Total Emissions} can only increase (>1.00> 1.00) if the multiplier (Total Tons Harvested\text{Total Tons Harvested}) increases by a factor significantly greater than 1/0.60≈1.671 / 0.60 \approx 1.67 (a >67%> 67\% increase in total timber volume).
3
Evaluate the choices to find a premise that provides this necessary operational expansion.
The choice describing a more than 90% increase in harvested volume accounts for the math (0.60×1.90+=1.14+0.60 \times 1.90+ = 1.14+), reconciling both premises completely.
An increase in overall scale of production explains why total output rises even as efficiency per unit improves.

Key Concept

Rate versus Total Volume Paradox (Jevons Paradox / Scale Effect)
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Topics

Resolving Paradoxes and Discrepancies

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