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Difficulty: MediumIdentifying Underlying Assumptions

To combat severe water scarcity, a regional agricultural board recommends that local apple orchard operators replace conventional overhead sprinklers with micro-drip irrigation systems. The board asserts that because micro-drip systems deliver water directly to plant root zones with minimal evaporation loss, implementing this transition across all regional orchards will significantly reduce the total volume of water consumed by the region's agricultural sector. Which of the following is an assumption upon which the agricultural board's argument depends?

  1. A
    Micro-drip irrigation systems are significantly less expensive to maintain over a five-year period than conventional overhead sprinkler systems.
  2. Orchard operators who transition to micro-drip systems will not expand their planted acreage to an extent that offsets the water saved per acre.Answer
  3. C
    The region's current water scarcity was primarily caused by inefficient agricultural practices rather than prolonged climatic droughts.
  4. D
    Micro-drip irrigation is the single most water-efficient technology currently available for all commercial fruit production globally.
  5. E
    Evaporation accounts for more than eighty percent of all agricultural water loss in the region during summer months.

Answer

The argument relies on the assumption that orchard operators adopting micro-drip irrigation will not expand their total planted acreage to an extent that offsets the per-acre water savings.
The argument connects a per-unit efficiency gain (less evaporation per root zone) to a macro-level result (reduced total regional water consumption). For this inference to hold, total water usage must not be driven back up by a expansion in scale. The statement that farmers will not scale up production enough to cancel out per-acre water savings is a necessary assumption. Applying the Negation Test confirms this: if farmers do expand acreage sufficiently to offset water savings, total agricultural water consumption will not decrease, invalidating the conclusion.

Step-by-Step Solution

1
Identify the premises and conclusion
Premise: Micro-drip systems lose less water to evaporation per acre than overhead sprinklers. Conclusion: Implementing micro-drip systems will significantly lower total regional agricultural water consumption.
Isolating the core argument structure reveals the jump from efficiency per unit area to total regional water volume reduction.
2
Identify missing logical links
The argument assumes that behavioral or operational changes following the adoption of efficient technology will not inadvertently increase total water use (e.g., expanding crop acreage).
High efficiency per acre only guarantees lower total water use if total acreage or water consumption per farm remains bounded.
3
Apply the Negation Test
Negated assumption: Operators WILL expand their planted acreage to an extent that offsets per-acre savings. Outcome: Total regional water consumption does NOT decrease, completely invalidating the board's conclusion.
A statement whose negation destroys the validity of the argument is a necessary underlying assumption.

Key Concept

Identifying Necessary Underlying Assumptions (Negation Test)
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Identifying Underlying Assumptions

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