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A certain company's profit is comprised of the profits of the 3 divisi

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A certain company's profit is comprised of the profits of the 3 divisi [#permalink]

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New post 21 Feb 2017, 16:49
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Question Stats:

38% (02:09) correct 62% (02:18) wrong based on 37 sessions

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A certain company's profit is comprised of the profits of the 3 divisions in the company. Is the total profit greater than $4.3 million?

1) The range of the 3 divisions' profits is $2.9 million, and the average (arithmetic mean) of the profit is equal to its median..

2) The minimum value of the 3 divisions' profit is $1.5 million.
[Reveal] Spoiler: OA

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Re: A certain company's profit is comprised of the profits of the 3 divisi [#permalink]

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New post 24 Feb 2017, 00:33
(1) Let x be a profit for division with least profit. Then the most profitable division has x+2.9mio. Because there are only three divisions and median equals average, the profit for the third division is exactly between the other divisions' profit which is (x + x + 2.9)/2 = x + 1.45. Sum of the profits is x + x + 2.9 + x + 1.43 = 3x + 4.45. Because the profit is a positive number, the combined profit is greater than 4.3. This statement is sufficent.
(2) if a minimum value is 1.5, sum of three must at least greater than or equal to 1.5*3 = 4.5. This statement is sufficient.
Answer is D.
Re: A certain company's profit is comprised of the profits of the 3 divisi   [#permalink] 24 Feb 2017, 00:33
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A certain company's profit is comprised of the profits of the 3 divisi

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