Question

Desperate need of help!!! Graph the cost and revenue functions
C = 0.08x + 25000
R = 0.28x
in the same viewing rectangle.
a) Find the sales x necessary to break even
(R = C).

Answer 1

What exactly are you not sure about here?

Answer 2

i dont know what they're trying to ask me

Answer 3

Well, the 'break-even' point is where the cost of producing 'x' units is equal to the amount you make from selling 'x' unit.

They give you the hint "R=C" because you set the function R equal to C and solve for x.

Answer 4

Essentially, you're finding the x-value that makes R = C.

Answer 5

0.08x + 25000=0.28x
like this?

Answer 6

Yes

Answer 7

will I subtract 0.08 from o.28?

Answer 8

0.28 i mean

Answer 9

Yeah, we subtract 0.08x from 0.28x first

Answer 10

that's 0.2

Answer 11

mmhm. So, that will give us:
25000 = 0.2x

We could then divide by 0.2, or if it helps to do so, we could multiply by 10 and then divide by 2 (the same thing, just easier to do without a calculator)

Answer 12

i get 125000

Answer 13

Yeah, so our answer would be:
x = 125000

Answer 14

ok hang on

Answer 15

b) Find the corresponding revenue R obtained
by selling x units.
this is apart of the question

Answer 16

We'd just use x=125000 in R, since that is the revenue for the x-value we found.
R = 0.28x <- x=125000
R = 0.28(125000)

Answer 17

35000?

Answer 18

Yep. :)

Answer 19

ok let me see if i go right, hang on

Answer 20

I did!!! Thank you so much!!!

Answer 21

No problem! I'm glad to help! :D

Answer 22

:D

Answer 23

@michelle010d Would you click on the "best answer" showing you're happy with the solver!

Answer 24

In order to break even, 125,000 units need to be selled out with the revenue is $35,000!