Question

a cost function, c(x), is given below. find the average cost per item when the required number of items are produced
c(x) = 21x + 1500, 1000 items

what is the average cost per item?
$

Explanation:

Step1: Find total cost at x=1000

Substitute \( x = 1000 \) into \( C(x)=21x + 1500 \).
\( C(1000)=21\times1000 + 1500 \)
\( C(1000)=21000 + 1500 = 22500 \)

Step2: Calculate average cost

Average cost = \( \frac{\text{Total Cost}}{\text{Number of Items}}=\frac{22500}{1000} = 22.5 \)

Answer:

22.5