Linear Equations

The cost C (in dollars) for beads to make bracelets is C=4x+180, where x is the number of bracelets. Each bracelet sells for $34

A. Write an equation for the revenue R in terms of the number of bracelets

B. How many bracelets need to be sold for the business to break even?

Respuesta :

A.R = 34x

B. 4x+180= 34x
    180=30x
     x=6
Answer is 6. 

Answer:

Revenue = 34x

6 bracelets need to be sold for the business to break even

Step-by-step explanation:

Given : The cost C (in dollars) for beads to make bracelets is C=4x+180,

             where x is the number of bracelets.

              Each bracelet sells for $34

To Find :

A. Write an equation for the revenue R in terms of the number of bracelets  

B. How many bracelets need to be sold for the business to break even?

Solution :

Since the price of bracelet is $34

Suppose x no. of bracelets are sold .

Formula of revenue = Price * Quantity

Revenue = 34x

An equation for the revenue R in terms of the number of bracelets  = 34x

Now to calculate How many bracelets need to be sold for the business to break even

⇒4x+180 = 34x

⇒180=30x

⇒[tex]x=\frac{180}{30}[/tex]

⇒[tex]x=6[/tex]

Thus 6 bracelets need to be sold for the business to break even