Answer
see an explanation
Work Step by Step
$C=0.01x^2+6x+500$
a.-The Average cost is the total cost divided by the number of goods produces.
-The definition of an Average is the Total sum of the numbers divided by how many numbers are in the list.
Therefore, In this case, The total cost of producing $x$ shirt is given by $C=0.01x^2+6x+500,$ dollars. thus, $A=\frac{0.01x^2+6x+500}{x},$ is the Average cost per shirt.
b.
$\begin{array}{ll}
\#goods-produced&Average-Cost\\
x=10,&A=56.1\\
x=20,&A=31.2\\
x=50,&A=16.5\\
x=100,&A=12\\
x=200,&A=10.5\\
x=500,&A=12\\
x=1000,&A=16.5
\end{array}$
