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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.

Respuesta :

Answer:

Total cost function is [tex]C(x)=9\frac{x^{2} }{2} +20000[/tex]

Explanation:

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

[tex]C(x)=\int\limits^a_b {(9x+e)} \, dx =9\frac{x^{2} }{2} +C[/tex]

Finally, the cost function is.

[tex]C(x)=9\frac{x^{2} }{2}+20000[/tex]

Best of luck

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