116k views
2 votes
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
by
7.5k points

1 Answer

1 vote

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
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories