Question

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.

Answer 1

Answer:

total cost is $2444

Step-by-step explanation:

A company’s marginal cost function $MC= \frac{94}{\sqrt{x} }$ 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

$\int\limits ^{625}_{144}{\frac{94}{\sqrt{x} } } \, dx$

$94(2\sqrt{x} )$ with intervals 144 to 625

now plug in the values

$94(2\sqrt{625})-94(2\sqrt{144})=2444$

total cost is $2444