Question

can someone please help me
A company makes and sells charm bracelets. The cost of producing x bracelets is represented by the function
C(x) = 180 + 8x. The revenue earned from selling x bracelets is represented by the function R(x) = 20x.
Write and simplify a function P that represents the profit made from selling x bracelets.
How many bracelets must the company sell to break even?

Answer 1

Profit = Revenue - Cost
so subtract C(x) from R(x)

Answer 2

okay

Answer 3

so C(x) would be 180?

Answer 4

let the function P(x) represent the profit earned.
P(x) = R(x) - C(x)
P(x) = 20x - (180 + 8x)
P(x) = 20x -180 -8x
P(x) = 20x - 8x -180
P(x) = 12x - 180

Answer 5

so i subtract 12-180?

Answer 6

No. You have to find the value of x when the company breaks even (i.e they do not suffer losses nor do they make a profit.)

Answer 7

oh okay

Answer 8

-168?

Answer 9

No. Set P(x) = 0 (This means that they do not make a profit but do not suffer a loss either.)
0 = 12x -180
12x = 180
x = 15
So they need to manufacture 15 bracelets to break even.

Answer 10

okay.. so it will be 12(15)=180 right?

Answer 11

Yes

Answer 12

thank you