I NEED HELP PLEASE, THANKS! :)
1 answer:
Answer:
2444
Step-by-step explanation:
The total cost is the integral of the marginal cost.
![\displaystyle C=\int_{144}^{625}{\dfrac{94}{\sqrt{x}}}\,dx=\left. 2\cdot 94\sqrt{x}\right|_{144}^{625}=188(25 -12)=\boxed{2444}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20C%3D%5Cint_%7B144%7D%5E%7B625%7D%7B%5Cdfrac%7B94%7D%7B%5Csqrt%7Bx%7D%7D%7D%5C%2Cdx%3D%5Cleft.%202%5Ccdot%2094%5Csqrt%7Bx%7D%5Cright%7C_%7B144%7D%5E%7B625%7D%3D188%2825%20-12%29%3D%5Cboxed%7B2444%7D)
The total cost of producing units 144 through 625 is 2444.
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