A Function Operations Assignment Active Using the Profit Function 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:

P(x) = 12x – 180

SOLVINGS

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

Step-by-step explanation:

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