A certain electronics manufacturer is making GPUs for gaming laptops (GPU stands for graphics processing
unit). The manufacture found that the marginal cost to produce GPUs can be found using the equation
. If the marginal cost were , how many GPUs were produced?
Select an answer

To find the number of GPUs produced when the marginal cost is $672, we set the equation for marginal cost equal to 672:

Now, we can simplify the equation:

To make calculations easier, we can multiply the entire equation by 25 to eliminate the decimal:

Next, we use the quadratic formula where , , and :

This gives us two possible solutions:

Since must be a whole number, we can conclude that the company most likely produced either 182 or 18 GPUs. To decide which is more reasonable in a practical context, we can assume they would not produce fractions of a GPU, and one of these values would be common and more likely based on their production scale. Therefore, the approximate number of GPUs produced is either 182 or 18 GPUs, with 182 being a more substantial production figure.