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?

Revenue, Cost and Profit are related by the following formula:

Profit = Revenue - Cost

We are given cost and revenue functions:

Cost C(x) = 180 + 8x

Revenue R(x) = 20x

Plugging the values in formula :

Profit = 20x -(180+8x)

let Profit function is P(x)

combining like terms

Break Even: It occurs when revenue and cost are equal.

so let us find bracelets sold by company to break even.

Revenue = Cost

subtracting 8x from left side

dividing both sides by 12

x = 180/12

x= 15

So the company must sell 15 bracelets to break even.

answer for edg2020

Step-by-step explanation:

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.

215.92 dollars is the answer

the one below it is a function