Question

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 is revenue minus cost.

P(x) = R(x) – C(x) or

P(x) = 20x – (180 + 8x)

Distribute and combine like terms.

P(x) = 12x – 180

The breakeven point is when P(x) = 0.

0 = 12x – 180

180 = 12x

x = 15

They must sell 15 bracelets to break even.

Explanation:

15 bracelets are required to break even.

180+ 8x=20x

180=12x

15=x