Question

the daily cost to a manufacturing company is modeled by the function $c(x)=5x + 1100$ where $c(x)$ is the total daily cost and $x$ is the number of items manufactured. find $c(4000)$, and interpret its meaning.
$c(4000)=
this value represents
the daily cost when 4000 items are manufactured
the product of the daily cost and the number of items
the number of items manufactured when the daily cost is 4000
question help: video

Explanation:

Step1: Substitute x = 4000 into the cost - function

Substitute $x = 4000$ into $C(x)=5x + 1100$.
$C(4000)=5\times4000+1100$

Step2: Perform the arithmetic operations

First, calculate $5\times4000 = 20000$. Then, $20000+1100=21100$.
$C(4000)=21100$

Answer:

$C(4000)=21100$
The daily cost when 4000 items are manufactured