Question

APPLICATION OF QUADRATIC EQUATIONS
The manager of a bicycle shop has found that at a price (in dollars ) of p(x)= 150 - x/5 per bicycle, x bicycles will be sold.
a) Find an expression for the total revenue from the sale of x bicycles(hint: Revenue = demand x price)
b)Find the number of bicycles sales that leads to maximum revenue
c)find the maximum revenue. @timo86m

Answer 1

hmm i suppose the demand would be represented by x so 150x- x^2/5
as far as max and min take the derivative so 150-2/5x solve for x then plug back in for revenue! so b=375 c= 56250-28125= 28125

Answer 2

thanks but your solution is not really clear.if you can elaborate will be soo glad.thanks

Answer 3

where you got the 150-2/5x is where im confused

Answer 4

thats the derviative of 150x-(x^2)/5

Answer 5

so how do i go about solving for b

Answer 6

okay so by now you probably no that the derivative represents the slope correct?

Answer 7

yes

Answer 8

so when the slope =0 we assume its a max or min

Answer 9

since there is only one solution when i set the derivative to zero I assumed it was the max you can text for it through.

Answer 10

test*

Answer 11

so that x that we found is the number of bicycles being sold at that max

Answer 12

which was 375

Answer 13

I can explain this much easier on skype if you want

Answer 14

aww ma skype aint working now .the issue is the 375 NOW HOW YOU GOT THAT

Answer 15

okay so set the derivative to 0 and solve for x

Answer 16

BECAUSE OF THE X SQUARED I GET 750X - X^2=0

Answer 17

that is where i get to and then get confused

Answer 18

i have no idea how you end up with 750x-x^2

Answer 19

the derivative of 150x-(x^2)/5 is 150-2x/5

Answer 20

the first equation i just listed is the revenue

Answer 21

so how did you get 150-2x/5 how did u work to get that

Answer 22

n(x)(n-1)

Answer 23

n(x)^(n-1)*

Answer 24

so 150*1(x)^(1-1) n=1 in this one and 1/5*2x^(2-1) n=2

Answer 25

ok im tryna figure it out.will contact you if i have any question,.thanks.you soo helpful

Answer 26

let me know

Answer 27

the equation I listed needs to be put in vertex form

Answer 28

sorry not vertex form im dumb. standard form. which it is. -x^2+750x the axis of symmetry is what you are looking for

Answer 29

ax^2+bx+c so -b/2a, -750/2(-1)= 375