Question

Can someone please tell me if I'm right or wrong

Answer 1

A manufacturer of microwave ovens believes that the revenue R, in dollars, the company receives is related to the price P, in dollars, of an oven by the function . What price will give the maximum revenue?

Answer 2

I got for the vertex (275,15125)

Answer 3

@mathmale

Answer 4

What should I do now?

Answer 5

Ola, Daniel!
I have the strong feeling that something is missing here: a drawing or an equation, or both. Would you double check on that, please?

Answer 6

Yes... R(P)=110P-0.2P^2

Answer 7

So R(P)=15125 and P=275

Answer 8

You are to find the maximum REVENUE (maximum R). given that R(P)=110P-0.2P^2.
How did you find that? I see you've already gone through some calculations, but would like to see also what you did. Are you using an algebraic approach or a calculus approach?

Answer 9

Algebra

Answer 10

I used the x=-b/2a thing and then I got 275 and then I put in the equation

Answer 11

If through algebra: recognize that R=0 when P=0 or P= 550; your P=275 is exactly in the middle between 0 and 550.

Or, you could find the P-coordinate of the vertex, which is P=-b/(2a), as you have already done.

Answer 12

Then you find the max profit by substituting P=275 into R(P)=110P-0.2P^2.

Answer 13

Anything about this problem remaining tht you'd like to discuss?

Answer 14

What's the answer XD

Answer 15

Not trying to be funny or mean, but what do YOU think is the answer, and why?

Answer 16

Re-read the question before you answer that.

Answer 17

15125 because that is what i got when i put the P into the equation

Answer 18

"The price that will produce the maximum revenue is $ ???? "

Answer 19

15125

Answer 20

$15125 is an awfully expensive microwave oven!

Answer 21

So 275?

Answer 22

True! But the question doesn't ask for the max revenue; it only asks "at what price will the revenue be at its max?" You have already answered this, above.

"The price that will produce the maximum revenue is $ ???? "

Yes, that's expensive!!! I'll buy 2: one for me and one for you Mom.

Answer 23

Yes. $275 is the price that results in the max. revenue (which is $15,125, but is not required in this problem.)

Answer 24

Thank you @mathmale

Answer 25

One technique recommended to me long ago is to always check the answer (obvious), and before doing so, reread the problem, to make sure the answer you check is the answer the problem requests!

Answer 26

I will

Answer 27

That's great advice, Daniel, but it's all too often ignored. Happy to "meet" with you here on OpenStudy tonight. Hasta la vista!

Answer 28

It's especially easy in a multi-part problem to get "turned around" about what you are supposed to be finding.

Answer 29

And @whpalmer4

Answer 30

Hasta luego

Answer 31

Bye!

Answer 32

you're welcome!