Question

The profit of a company in thousands of dollars is given by the quadratic function P(x) = 3000 + 1200x - 6x2 where x is the amount, in thousands, the company spends on advertising. Find the amount, x, that the company has to spend to maximize its profit.

Answer 1

A)
100



B)
1,000



C)
10,000



D)
100,000

Answer 2

PLEASE HELP ME WITH THIS PROBLEM IT'S CONFUSING MEE

Answer 3

@Mehek14

Answer 4

@amistre64

Answer 5

@GBMK92

Answer 6

@yajna

Answer 7

@welshfella

Answer 8

@~Gelmhar

Answer 9

you need to find the maximum value of P(x) - well the value of x that gives this maximum value

Answer 10

@tywower - at what stage are you in mathematices. Have you done any calculas ?

Answer 11

it's been a while

Answer 12

differentiation?

Answer 13

idk

Answer 14

Ok we can do this by cnoverting the quadratic to vertex form

Answer 15

okay because I'm practicing problems for an upcoming test and need to know how to do this again to actually pass the exam

Answer 16

gotta go - be back in 5 minutes

Answer 17

What type of math is this?

Answer 18

we can rewrite the equation as -6x2+1200x+3000
and then we divide by -6 which = to x2-200x-500
then we solve by using this equation