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Difficulty: MediumEliminating One-Sided Explanations

Last year, Zenith Manufacturing Plant replaced all of its aging metal-cutting machines with state-of-the-art laser cutters. The manufacturer of the laser cutters guaranteed that they operate at twice the cutting speed of Zenith’s old machines and produce a significantly lower percentage of defective parts. However, an internal audit revealed that Zenith’s total monthly output of successfully finished, non-defective parts actually declined after the laser cutters were fully installed and operational.

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

  1. A
    The state-of-the-art laser cutters utilize a highly advanced cooling system that completely prevents the metal edges from warping during the cutting process, ensuring unprecedented precision.
  2. B
    Because the new laser cutters operate at twice the speed of the old machines, the absolute number of defective parts they produce in a given hour is actually higher, despite the lower overall defect rate.
  3. The laser cutters require intensive recalibration after every batch of parts, a process that forces the machines to sit completely idle for the vast majority of the workday, whereas the old machines ran continuously.Answer
  4. D
    Just before Zenith installed the new laser cutters, the global price of raw industrial metal increased significantly, substantially raising the plant's overall cost of production.
  5. E
    Zenith completed the installation of the new laser cutters during the exact same month that the plant's most experienced floor manager retired and was replaced by a junior supervisor.

Answer

The statement indicating that the laser cutters require intensive recalibration after every batch, forcing them to sit idle for the vast majority of the workday.
The correct answer perfectly reconciles both conflicting facts by introducing a new operational variable: uptime. While the new machines cut twice as fast and have a lower defect rate while running (validating the manufacturer's guarantee), their massive downtime for recalibration means they spend far less time actually operating than the old machines did. This perfectly explains how Zenith's total monthly output of non-defective parts could decline despite the machines' superior speed and precision when active.

Step-by-Step Solution

1
Analyze the apparent discrepancy presented in the stimulus.
Premise A establishes that the new machines cut twice as fast and have a lower defect rate. Premise B establishes that the total monthly output of non-defective parts actually declined.
Identifying the two conflicting facts is the mandatory first step in any paradox resolution question.
2
Identify the missing logical variable that connects speed/efficiency to total output.
Total output is determined by (Speed) × (Time operating) × (Success rate). Since speed and success rate improved, the missing variable must be a drastic reduction in 'Time operating'.
A valid resolution must allow the premises to remain entirely true while logically leading to the surprising outcome.
3
Evaluate the options to find the bridge mechanism that addresses both sides of the discrepancy.
The correct option introduces 'intensive recalibration' causing the machines to sit 'completely idle for the vast majority of the workday'.
This accepts that the machines are fast and precise when on, but explains the lower total output by revealing they are turned off most of the time.

Key Concept

Resolving a paradox requires identifying a new piece of information that bridges both seemingly contradictory premises without denying either one. Explanations that only account for one side of the conflict are incorrect traps.
Estimated Time:1m 30s
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Eliminating One-Sided Explanations

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