9. A company’s marginal cost function is where x is the number of units. Find the total cost of producing units 144 to 625.

Respuesta :

Answer:

total cost is $2444

Step-by-step explanation:

A company’s marginal cost function [tex]MC= \frac{94}{\sqrt{x} }[/tex] is where x is the number of units

Marginal cost function is the derivative of cost function

to find the total cost of producing units , take integral of marginal cost function

[tex]\int\limits ^{625}_{144}{\frac{94}{\sqrt{x} } } \, dx[/tex]

[tex]94(2\sqrt{x} )[/tex] with intervals 144 to 625

now plug in the values

[tex]94(2\sqrt{625})-94(2\sqrt{144})=2444[/tex]

total cost is $2444

Answer:

$2444

Step-by-step explanation:

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