Question

A company's revenue (in dollars) can be modeled by the function
R (p) = -15p^2 + 200p +10,000
where p is the price in dollars of the company's product. What price (in dollars) will maximize the revenue?

Round to the nearest penny.

Answer 1

Differentiate and put equal to 0 for max

Answer 2

Clarify what you mean by that...

Answer 3

Differentiate R(p) with respect to p and put the resulting equal to 0 in order to calculate the value of p for which R(p) is a maximum.

Answer 4

Yeah you completely lost me, aha. This is High School Math that how now been brought to another lane of confusion. I know I have to follow -b/2a... I will try to refer to another source for some help.

Answer 5

It's a quadratic equation, the graph of which is a parabola. Find the vertex of the parabola.

Answer 6

That in fact amounts to exactly the same thing

Diff ax^2 +bx +c = 2ax + b = 0 -> x = -b/2a

Answer 7

Of course it does, estudier, but if 1missmanhattan doesn't know calculus . . .

Answer 8

-b/(2a) will work.
Use b=200, a =-15

Answer 9

Never too early to start:-)

Answer 10

It's too early if the student doesn't have the requisite fundamentals.
I saw a little earlier someone with a calculus question who struggled to find the area of a rectangle.

It's a nice taste of things to come, though to let 1miss know that -b/2a can be found from the first derivative, but it might be better right now to relate it to something more familiar like the quadratic formula.

Answer 11

Agreed, go ahead....

Answer 12

Well, I think our student has already jumped ship.