Last year, a certain company began manufacturing

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?

1 Explanation

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Mike McGarry, Magoosh Tutor

Jan 5, 2014 • Comment

Pablo Gutierrez

Could you explain why you can't stop once you get to 0.95(5n)>100,000? Is that not far enough to know you will be able to determine the number of units sold? Why do we have to keep going to find the exact number of product was sold?

Oct 13, 2017 • Reply

Jonathan , Magoosh Tutor

Hi Pablo,
Imagine we got n > 20,000. Then we still wouldn't know whether n is necessarily greater than 21,000 and the statement wouldn't be sufficient. So it's important that when we solve we get n > (something greater than 21,000) to know that (2) is sufficient.

Nov 6, 2017 • Reply