Question

A company has found that the marginal cost of a new production line (in thousands) is C'(x) = 9 x + e , where x is the number of years the line is in use. Find the total cost function for the production line (in thousands). The fixed cost is $20,000.

Answer 1

Answer:

Total cost function is $C(x)=9\frac{x^{2} }{2} +20000$

Explanation:

Hi, you just need to integrate the marginal cost function and that is it. Check the process below.

$C(x)=\int\limits^a_b {(9x+e)} \, dx =9\frac{x^{2} }{2} +C$

Finally, the cost function is.

$C(x)=9\frac{x^{2} }{2}+20000$

Best of luck