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plz solve

by ruplun » Sat Jul 02, 2011 11:38 am
Over a seven-week period a company monitored the output of two of its factories, C and D. Each week the company calculated how many units were produced in each factory. The factory that produced the greatest number of units for four or more of the seven weeks was considered the more efficient factory. Which factory was deemed the more efficient?

(1) Over the seven-week period factory C produced twice as many units as factory D.
(2) The factory that was more efficient was known by the fifth week.
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by goalevan » Sat Jul 02, 2011 2:03 pm
The question is asking which plant had 4 or more weeks with a higher unit production than the other plant.

Statement 1) this statement says that factory C produced twice as many units in total over the span of seven weeks. This doesn't tell us whether 4 or more of those weeks had levels above those at plant D.

Think about two simple scenarios,
Plant C produces 0 units in weeks 1-6 and 14,000 units in week 7. Total units = 14,000.
Plant D produces 1,000 units in each week. Total units = 7,000.

In this case, plant D produces more units in 6 out of 7 weeks, and is the more efficient plant.

The other scenario is that plant C produces 2,000 units per week and D produces 1,000 units per week. In this case plant D is the more efficient plant.

Insufficient.

Statement 2) The statement says nothing about the distribution of units produced for either plant. Insufficient.

Combined) After adding the second statement to the first, both scenarios I listed are still possible, and still yield different results for the more efficient plant. Insufficient.

IMO E
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