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A manufacturer needs to pay $300 to start making a certain new product. Besides the initial costs of $300, this product will also cost $18 per unit. The manufacturer wants to write an inequality to determine when the average cost per unit will be $24 or less.

Which inequality determines how many units (x) of the product need to be produced for the average cost to be $24 or less?

User Booboo
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1 Answer

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Answer:


\displaystyle (300+18x)/(x)\le 24

Explanation:

Average Cost

Making a certain new product costs $300 plus $18 per product.

The total cost for x products is given by:

300 + 18x

To get the average cost, we divide the total cost by the number of products manufactured:


\displaystyle A=(300+18x)/(x)

If the manufacturer wants to keep the average cost at $24 or less:


\mathbf{\displaystyle (300+18x)/(x)\le 24}

This is the required inequality

User Lucas Infante
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