Answer
The cost of producing 100 items is $~~\$742.08$
Work Step by Step
$C'(x) = 1.92-0.002~x$
$C(x) = C_0+1.92~x-0.001~x^2$
It is given in the question that $C(1) = 562$
We can find $C_0$:
$C(1) = C_0+1.92~(1)-0.001~(1)^2 = 562$
$C_0 = 562-1.92+0.001$
$C_0 = 560.08$
We can find $C(100)$, the cost of producing 100 items:
$C(100) = 560.08+1.92~(100)-0.001~(100)^2$
$C(100) = 560.08+192-10$
$C(100) = 742.08$
The cost of producing 100 items is $~~\$742.08$
