Question

can anyone please help?

the revenue from selling x units of a product at a price of p dollars per unit is given by xp. For a particular commodity, the revenue is
R=800x-0.25x^2

Factor the expression for the revenue and determine an expression for the price in terms of x.

Answer 1

help :O

Answer 2

R=-0.25x^2+800x
R=-0.25x(x-32) This will be the factored expression.

Answer 3

1 sec,

Answer 4

u sure brah, that looks like an 8 not an 800...

Answer 5

\[R=5x(40-0.5x)\]

Answer 6

I think that is better.

Answer 7

is that the expression for x?

Answer 8

its says to check the syntax of my response

Answer 9

Its the expression in terms of x, as your question states, yes.

Answer 10

According to the problem, it is an 800: R=800x-0.25x^2
40*5 only equals 200. And 5*0.5 equals 2.5.. This is not factoring...

R=xp
R=-0.25x^2+800x

-0.25x(x-32) = xp
Do you get it? Now solve for P.

Answer 11

i dont get it

Answer 12

So you/I have factored out R=-0.25x^2+800x to be R=-0.25x(x-32). Do you get this step?

The problem is asking you to find "the price in terms of x". Your problem tells you that "the revenue from selling x units of a product at a price of p dollars per unit is given by xp". This means R (the revenue) = x*p

You also know that R=-0.25x(x-32) (from your factored equation) and R=x*p

Since these 2 equations both equal R, that means they must be equal to each other. So, -0.25x(x-32) = xp. You want to solve for P.

-0.25x(x-32) = xp Divide both sides by x.
-0.25(x-32) = P

This is the answer for the problem. You can distribute the -0.25 to the x and -32 if you want.

Answer 13

help me

Answer 14

ohhhhhh i see now

Answer 15

Wait, I think there might be an error.

Answer 16

-0.25(x-3200)

Answer 17

i think so :P

Answer 18

-0.25x(x-3200) is the correct factored form... So replace -0.25x(x-32) with -0.25x(x-3200). Sorry about that.

Answer 19

-0.25(x-3200) = P

Answer 20

would i write that as P=(-0.25x)800???

Answer 21

P = -0.25x+800

Answer 22

it keeps saying check for the syntax of your responce D:

Answer 23

What are you doing with it? Is this for online school?

Answer 24

wouldnt it be -0.25x^2

Answer 25

yeah

Answer 26

You already canceled out the x when you tried to get P alone.

Answer 27

so how should i type it in?

Answer 28

It's asking for 2 things.
1) R = -0.25x(x-3200)
2) P = -0.25x+800

Answer 29

let me try it

Answer 30

i give up