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Despite radical fluctuations during the previous decade, unit labor costs (that is, the manufacturers’ average labor cost per unit produced) in country Q have remained unchanged for the last several years. However, during this period of stabilization, the average hourly wage of manufacturing laborers has increased by 7.2%.

Which of the following, if true, most helps to explain why the increase in hourly manufacturing labor cost of manufacturing labor in country Q has not led to an increase in average unit labor cost?

(A) Inflation has caused the purchase prices of goods manufactured in country Q to increase at the same rate.

(B) The increase in the average cost of manufacturing labor per hour has occurred despite decreases in the raw material costs.

(C) During the same period, manufacturing productivity (units produced per laborer per hour) increased at the same rate as did wages.

(D) In the last few years, there has been a shift in the economy of country Q, leading to more service-oriented jobs and fewer manufacturing jobs.

(E) When the hourly compensation rate increases, it is possible to hire workers with greater skill levels.



This is a CR Butler Question

­

Veritas Prep Official Solution



As evidenced by the phrase, “most helps to explain”, this is an “Explain the Paradox” question, a subtype of the Strengthen category. Several warning signs make it readily apparent that the Testmaker may be using statistics and ratios to hide the correct answer. The problem begins by defining unit labor costs as a ratio of two factors:


Unit Labor Costs = Labor Costs /Units Produced

The problem clearly states that the unit labor costs have stayed the same, but that labor costs have increased. Using the formula above, we can see that the only way for unit labor costs to remain constant in the face of increasing labor costs is to correspondingly increase the number of units produced, thus keeping the ratio the same. Once we cut through this mathematical trap set by the Testmaker, the answer is easy to find. We are looking for an explanation that shows us we have increased the number of units produced.

Answer choice “A” deals with the purchase prices of goods. This is a distraction unrelated to the ratio above, so we can eliminate it as a possible answer.

Answer choice “B” likewise focuses on information not include in the ratio above. The cost of raw materials can fluctuate without affecting the unit labor costs.

Answer choice “C” tells us that country Q produced more units – in fact, it tells us that the rate of increase in the units produced (per hour) is the same as the rate of increase in the labor costs (per hour).

If we were to substitute in these two parts into the equation above, the “per hour” factor would disappear out of the top and bottom of the equation. “C” clearly shows us how we could increase labor costs while still maintaining unit labor costs.

Answer choice “D” is completely extraneous. The economy can shift from manufacturing to service without affecting unit labor costs.

Answer choice “E” is a subtle trap answer designed by the Testmaker to trick you into subconsciously assuming information that is not explicitly stated. “E” tells us that workers with greater skill levels may be hired as hourly compensation increases. However, “greater skill levels” does not necessarily translate to “faster manufacturing.” Workers with greater skill levels do not necessarily work faster, so answer choice “E” does not necessarily bridge the logic gap.
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