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

Question

Mathematics

Ximena Gibson

2 May, 20:26

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

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Rylie Copeland · Answer 1

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

Step-by-step 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.