Answer
$50,000$ wheelchairs
Work Step by Step
In the graph we have
$x=$ Number of wheel chairs produced per month.
$y=$ Average cost per wheelchair for the company.
We are given $y=410$.
The point on the curve at $y=410$ is
$(x,y)=(50,000,410)$.
The value of $x$ corresponding to the value of $y$ is $50,000$.
Hence, $50,000$ wheelchairs must be produced each month.
Check the result using the cost function
$\bar{C}(x)=\frac{500,000+400x}{x}$.
Substitute $x=50,000$ and calculate $\bar{C}(x)$:
$\bar{C}(50,000)=\frac{500,000+400(50,000)}{50,000}$
$=\frac{20,500,000}{50,000}$
$=410\checkmark$
