Question

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?

Answer 1

Answer:

$\displaystyle \frac{300+18x}{x}\le 24$

Step-by-step 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:

$\displaystyle A=\frac{300+18x}{x}$

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

$\mathbf{\displaystyle \frac{300+18x}{x}\le 24}$

This is the required inequality