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 bracelet is represented by the function r(x)=20X write and simplify function P that represents the profit made from selling X bracelets how many bracelets must the company sell to breakeven

Answer 1

15 bracelets

Explanation:

Answer 2

Hi there!

You might already know the first step:
We can find the profit of a company by subtracting the total cost from the total revenue.

Profit = revenue - cost
We can now plug in (substitute) the functions from the question and find the profit function.

Profit = (20X) - (180 + 8X)
Work out the parenthesis. Pay attention to the minus sign in front!

Profit = 20X - 180 - 8X
Collect the terms.

Profit = 12X - 180
P = 12X - 180.

When a company sells breakeven, their total revenue equals their total cost and therefore they have no profit. This leads us to the conclusion that P = 0. Let's solve the equation!

12X - 180 = 0
Add 180 to both sides.

12X = 180
Finally divide by 12.

X = 180 / 12 = 15
Hence, the company must sell 15 bracelets to sell breakeven.

~ Hope this helps you!