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nasty-shy [4]
3 years ago
10

The total revenue for dante's villas is given as the function r(x)=300x−0.2x2, where x is the number of rooms filled. What numbe

r of rooms filled produces the maximum revenue?
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
4 0

Solution:- Given that the total revenue function

r(x)=300x-0.2x^2 ,where x is the number of rooms filled

Now, differentiating the function w.r.t. x,we get

r'(x)=300-0.4x

To find critical points ,Put r'(x)=0

\Rightarrow300-0.4x=0\\\Rightarrow0.4x=300\\\Rightarrow x=750\\\text{Now}\\r"(x)=-0.4


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===================================

Work Shown:

Recall that P is in thousands, so P = 95 means 95,000.

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