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Bunuel
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if the factory sells 18000 units ,
it makes 18000*5 = $90000
amount spent by factory = 45000 + 2.5*18000 = $90000
therefore , the number of items must be sold monthly for the factory to cover its cost exactly = 18000
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45000 + 2.5x = 5x
solving for x gives x = 18000
option C
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Bunuel
A factory has a fixed cost of $45,000 a month, and a cost of $2.5 for every item produced. If the selling price of a single item is $5, what is the number of items must be sold monthly for the factory to cover its cost exactly?

A. 9,000
B. 14,000
C. 18,000
D. 22,500
E. 27,000

We can create the equation:

45,000 + 2.5n = 5n

45,000 = 2.5n

18,000 = n

Alternate Solution:

The company makes a profit of 5 - 2.5 = $2.5 per item. Therefore, to cover the cost of $45,000; the company must sell 45000/2.5 = 18,000 items.

Answer: C
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