The marginal cost of a product is modeled by

dC/dx =12/Cube root (12x+5)
where x is the number of units. When x = 13, C = 160.

(a) Find the cost function. (Round your constant term to two decimal places.)

C= Ans- 3/2(12x+5)^2/3 +115.61 ????

(b) Find the cost of producing 70 units. (Round your answer to two decimal places.)
$-__???____

2 answers

dC/dx = 12 (12x+5)^-(1/3)

C = (3/2)(12x+5)^(2/3) + constant agree

160 = (3/2)(156+5)^(2/3) + constant
160 = 44.4 + constant
so
C = (3/2)(12x+5)^(2/3) + 115.61 agree

if x = 70 then
C = 249.68
So what was the problem? The first part was the hard part and you did it with no trouble.
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