Question

Profit/Cost/Revenue Problem, bit lost.
Model for profit a company makes in 1 year from producing X units of it's product is.
P(x)=-x^2+600x-89750
What is the max profit the company can make?
..... Im a bit lost, test tomorrow halp
Choices ate
200k
250k
275k
300k
325k

Answer 1

@AlexandervonHumboldt2

Answer 2

you seek to maximize the quadratic function P(x). Recall that the maximum or minimum of a parabola occurs at the vertex of the parabola. Recall again, that for quadratic equation in form ax^2+bx+c=0, the vertex (x coordinate) occurs at x=-b/2.
Apply this to your problem.

Answer 3

mmmm -b/2 ty.

Answer 4

so x = 300 right?
so then wouldnt i plu7g 300 in for the X value?

Answer 5

@inkyvoyd

Answer 6

oops I made a typo LOL
it's \(\Huge \frac{-b}{2a}\)

Answer 7

but yes using that you'd plug in whatever you get for -b/(2a) for the x value
aka P(-b/(2a)) and you would get your answer for profit.

Answer 8

gotcha, came out the same for this one.

Answer 9

again, need to find the max # of inches a redwood can grow per yr using g(r)=-.02r^2+r+1 same formula?

Answer 10

yup.; b=1, a=-.02

Answer 11

answer comes out wrong, needs to be between 12.9 and 13.1... im confused lol

Answer 12

@inkyvoyd

Answer 13

wrong file lol..

Answer 14

?

Answer 15

nothin, what's the final answer for this problem? i got lost.

Answer 16

g(r)=-.02r^2+r+1
b=1
a=-.02
-b/(2a)=1/.04=25
... but I bet if that is not the answer than you are not giving me the full problem lol

Answer 17

A horticulturist has determined that the number of inches a young redwood tree grows in
one year is a function of the annual rainfall, r (in inches), given by
g(r)=-.02r^2+r+1
What is the maximum number of inches a young redwood can grow in a year? The
maximum number of inches is:
(A) less than 12
(B) between 12.9 and 13.1
(C) between 13.2 and 13.6
(D) between 14.4 and 15.3
(E) between 24.7 and 25.2

answer is apparently C according to answer sheet.

Answer 18

unless I'm missing something I think the answer is E.

Answer 19

answer sheet is wrong then? says C :(

Answer 20

might want to ask but yeah I would say so.