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# Last year, a certain company began manufacturing product X a

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Joined: 02 Sep 2009
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Re: Last year, a certain company began manufacturing product X a  [#permalink]

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03 Sep 2018, 22:57
FANewJersey wrote:
Bunuel wrote:
Last year, a certain company began manufacturing product X and sold every unit of product X that it produced. Last year the company's total expenses for manufacturing product X were equal to $100,000 plus 5 percent of the company's total revenue from all units of product X sold. If the company made a profit on product X last year, did the company sell more than 21,000 units of product X last year? Since the company made a profit, then $$R-(100,000+0.05R)>0$$ --> $$R>(\frac{2,000,000}{19} \approx 105,000)$$. (1) The company's total revenue from the sale of product X last year was greater than$110,000 --> $$R > 110,000$$. It's possible that company sold just one unit for say $120,000 or 120,000 units for$1. Not sufficient.

(2) For each unit of product X sold last year, the company's revenue was $5. If total of n units were sold, then the total revenue would be$5n, so R = 5n --> $$5n>\frac{2,000,000}{19}$$ --> $$n>\frac{400,000}{19}>21,000$$. Sufficient.

Hi Bunuel,

How can we shortcut following tedious calculation:

$$\frac{2,000,000}{19} \approx 105,000$$

2,000,000/20 = 100,000 thus 2,000,000/19 will be a bit more.
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Joined: 02 Jun 2018
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Re: Last year, a certain company began manufacturing product X a  [#permalink]

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03 Sep 2018, 23:14
Only if the company made more than 21000 products n sold for 5 dollar each, it would have made a profit.

Since the total cp is 105250 and revenue for 21000 is 105000

Where as statement A is irrelevant and doesn't give any info on the total revenue or no. Of products. And is not needed in anyway to support statement B.

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Joined: 02 Jun 2018
Posts: 13
Re: Last year, a certain company began manufacturing product X a  [#permalink]

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03 Sep 2018, 23:16
Only if the company made more than 21000 products n sold for 5 dollar each, it would have made a profit.

Since the total cp is 105250 and revenue for 21000 is 105000

Where as statement A is irrelevant and doesn't give any info on the total revenue or no. Of products. And is not needed in anyway to support statement B.

Posted from my mobile device
Re: Last year, a certain company began manufacturing product X a &nbs [#permalink] 03 Sep 2018, 23:16

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