Acompany 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?

P(x) = 12x – 180

Given:

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.

Explanation of terms:

For x bracelets,

Cost of production is C(x); C(x) = 180 + 8x

Revenue earned is R(x); R(x) = 20x.Profit made is P(x); P(x) is unknown

Profit made = Revenue earned – Cost of production

∴ P(x) = R(x) – C(x)

P(x) = 20x – (180 + 8x)

P(x) = 20x – 180 – 8x

P(x) = 12x – 180

The profit made from selling x bracelets is represented by the function

P(x) = 12x – 180

15 bracelets are required to break even.

180+ 8x=20x

180=12x

15=x

Hope this helps!

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