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 for selling x bracelets is represented by the function R(x)=20x. Write and simplify a function P the represents the profit made from selling x bracelets. How many must the company sell to break even

Answer 1

Minimum 15 bracelets to be sold to meet the break even.

Explanation:

The cost price of bracelets is represented by C(x) =180+8x

The revenue earned (selling price) is represented by R(x) =20x

In these two functions x represents number of bracelets.

If P represents the profit then P = 20x-(180+8x)

P = 20x-180-8x = (12x-180)

For break even profit P = 0

12x-180 =0

12x = 180

x = 180÷12

x = 15

So minimum quantity of bracelets to be sold is 15 for the break even.