# Calculus optimization help?

#### Clange15

I have this problem for my calculus project that I don't understand how to do, can someone help?

#### Clange15

Yes all 66 are occupied occupied originally

#### skeeter

MHF Helper
revenue for the base rate and for added multiples of \\$10 ...

R = (139.99)(66)

R = (139.99 + 10)(66 - 1)

R = (139.99 + 20)(66 - 2)

R = (139.99 + 30)(66 - 3)

see a pattern?

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#### Clange15

Is that the only way to do it by doing each one out like that?

#### skeeter

MHF Helper
Is that the only way to do it by doing each one out like that?
I made a list so you may see a pattern and come up with a revenue function on your own ...

#### Clange15

I see the pattern but I still don't understand what I'm supposed to do

#### Clange15

Would it be like R(x)=(10x + 139.99)(66-x) ? And then what would I do from there?

#### skeeter

MHF Helper
You need to derive a revenue function and determine a maximum for that function using the optimization methods learned in calculus.

I've given you a place to start ... that's about all I can tell you because I'm sure it is a graded project.

#### Archie

Would it be like R(x)=(10x + 139.99)(66-x) ?
Yes. That's good. Now, how can you determine the maximum revenue that this function gives?