The marginal cost of a product is modeled by

Question

dC/dx= 16/cube root 16x + 3
where x is the number of units. When x = 17, C = 120.
(a) Find the cost function. (Round your constant term to two decimal places.)
c=

(b) Find the cost of producing 90 units. (Round your answer to two decimal places.)
$

Answer 1

I read that as
dC/dx = 16/(16x+3)^(1/3)

then C = (3/2)(16x + 3)^(2/3 + c
when x = 17, C=120
120 = (3/2)(275)^(2/3) + c

c = ....

Once you have c, you know C = ....
sub in x = 90