Answer:
$20.9
Step-by-step explanation:
We have been given a formula [tex]C(x)=19x+1900[/tex], which represents the cost of x items.
First of all, we will find cost of 1000 items by substituting [tex]x=1000[/tex] in our given formula as:
[tex]C(1000)=19(1000)+1900[/tex]
[tex]C(1000)=19,000+1900[/tex]
[tex]C(1000)=20,900[/tex]
To find average cost per item, we will divide total cost by number of items as:
[tex]\text{Average cost per item}=\frac{\$20,900}{1000}[/tex]
[tex]\text{Average cost per item}=\$20.9[/tex]
Therefore, the average cost per item would be $20.9.