A trade association reported the annual production of architectural

Question

https://gmatclub.com/forum/download/file.php?id=89759 A trade association reported the annual production of architectural glass by 33 producers in a certain year. The graph shows the production volumes of the 10 largest producers and the combined production of the remaining 23 producers. Production volumes are given in thousands of tons. Select from each drop-down menu the option that completes the statement most accurately based on the information provided. For the 10 largest producers of architectural glass, the range of the production volumes was GRAPH_1_PLACEHOLDER thousand tons. The ratio of the combined production of the producers ranked 11th through 20th to the combined production of the 23 producers outside the top 10 must be GRAPH_2_PLACEHOLDER . GMAT-Club-Forum-xbk89ze0.png

Bunuel · Accepted Answer

https://gmatclub.com/forum/download/file.php?id=89759

A trade association reported the annual production of architectural glass by 33 producers in a certain year. The graph shows the production volumes of the 10 largest producers and the combined production of the remaining 23 producers. Production volumes are given in thousands of tons.

Select from each drop-down menu the option that completes the statement most accurately based on the information provided.

For the 10 largest producers of architectural glass, the range of the production volumes was  GRAPH_1_PLACEHOLDER  thousand tons.

The ratio of the combined production of the producers ranked 11th through 20th to the combined production of the 23 producers outside the top 10 must be  GRAPH_2_PLACEHOLDER .

Official Solution:

Drop-down 1:

The range is the difference between the greatest and smallest values.

Among the 10 largest producers, Norland has the greatest production, 9,600 thousand tons, and Ardin has the smallest, 900 thousand tons.

Thus:

9,600 - 900 = 8,700

Therefore, the range was  8,700 thousand tons .

Drop-down 2:

The 23 producers outside the top 10 produced a total of 11,500 thousand tons.

The producers ranked 11th through 20th are the 10 largest of these 23 producers. Therefore, their combined production must be at least 10/23 of the total production of the 23 producers:

10/23 * 11,500 = 5,000

Also, the 10th-ranked producer, Ardin, produced 900 thousand tons. Since every producer ranked below Ardin produced no more than 900 thousand tons, the combined production of the producers ranked 11th through 20th could not exceed:

10 * 900 = 9,000

Thus, their combined production must be between 5,000 and 9,000 thousand tons.

As a fraction of the 11,500 thousand tons produced by all 23 producers outside the top 10, this is between:

5,000/11,500 ≈ 0.43

and

9,000/11,500 ≈ 0.78

Therefore, the ratio must be  between 0.40 and 0.80 .

Correct answer:

Drop-down 1: "8,700"
Drop-down 2: "between 0.40 and 0.80"

MartyMurray · Answer

https://gmatclub.com/forum/download/file.php?id=89759

A trade association reported the annual production of architectural glass by 33 producers in a certain year. The graph shows the production volumes of the 10 largest producers and the combined production of the remaining 23 producers. Production volumes are given in thousands of tons.

Select from each drop-down menu the option that completes the statement most accurately based on the information provided.

For the 10 largest producers of architectural glass, the range of the production volumes was __________ thousand tons.

Range = 1st - 10th = 9,600 - 900 = 8,700

Select  8,700 .

The ratio of the combined production of the producers ranked 11th through 20th to the combined production of the 23 producers outside the top 10 must be __________.

11th through 20th Production : Total Production of Bottom 23 = 11th through 20th Production : 11,500

The production of each of the 11th through the 20th has to be below that of the 10th, which is 900.

So, we can determine the following:

Upper Limit of 11th through 20th Production = 10 × Production of 10th = 10 × 900 = 9,000

Max Ratio 11th through 20th Production : Total Production of Bottom 23 = 9,000 : 11,500 ≈ 80 : 100

The production of each of the 11th through the 20th has to be at minimum the average of the bottom 23, which is 11,500/23 = 500. After all, the top 10 have to be at least average.

So, we have the following:

Lower Limit of 11th through 20th Production = 10 × Average Production of Bottom 23 = 10 × 500 = 5,000

Min Ratio 11th through 20th Production : Total Production of Bottom 23 = 5,000 : 11,500 ≈ 40 : 100

Select  between 0.40 and 0.80 .

Correct answer:   8,700 ,  between 0.40 and 0.80

A trade association reported the annual production of architectural

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A trade association reported the annual production of architectural

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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My Rewards