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Difficulty: MediumResolve the Paradox

Scenario: A commercial greenhouse facility replaced all of its traditional high-pressure sodium (HPS) grow lights with energy-efficient LED fixtures that draw 40 percent less electrical power while delivering identical light output for plant growth. Nevertheless, during the subsequent winter operating season, the facility's total electricity consumption increased significantly compared to previous winters.

Statement: The factual proposition that LED fixtures emit substantially less radiant heat than HPS fixtures, forcing the facility to run auxiliary electric space heaters continuously to maintain the requisite ambient growing temperatures, successfully resolves the apparent discrepancy in the facility's winter electricity consumption.

Answer: Answer

Answer

True
The evaluated statement accurately identifies a compensatory mechanism that bridges both sides of the paradox: the reduction in waste heat from efficient LED fixtures created a new heating deficit that was met by electric heating units, resulting in a net increase in total electrical consumption.

Step-by-Step Solution

1
Identify the two seemingly conflicting premises presented in the scenario.
Premise 1 establishes that more efficient lighting fixtures drawing 40 percent less electricity were installed. Premise 2 establishes that total winter electricity consumption rose significantly.
Resolving a paradox requires isolating the tension between the expected decrease in power draw and the observed increase in total consumption.
2
Analyze the causal mechanism introduced in the auxiliary statement.
The auxiliary statement explains that the new LED fixtures emit far less byproduct heat, which necessitated running supplemental electric heaters.
A valid resolution must supply an external factor that explains how both established premises can be true simultaneously without rejecting either premise.
3
Evaluate whether the auxiliary statement successfully reconciles the discrepancy.
The additional electrical load required to run electric heaters offsets and exceeds the energy saved on lighting, fully explaining the net rise in total electricity usage.
Because the statement provides a complete, logically sound reconciliation of the two facts, the proposition is True.

Key Concept

Compensatory causal mechanisms in paradox resolution

Alternative Method

Frame the scenario as an energy balance equation: Total Electricity=Lighting Load+Heating Load\text{Total Electricity} = \text{Lighting Load} + \text{Heating Load}. When Lighting Load\text{Lighting Load} decreases by ΔL\Delta L but Heating Load\text{Heating Load} increases by ΔH\Delta H (where ΔH>ΔL\Delta H > \Delta L), Total Electricity\text{Total Electricity} increases, fully reconciling the observations.
Estimated Time:1m 15s
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Resolve the Paradox

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