SOLUTION: Solve the problem. An-Mei owns a business making and selling jackets. She has a fixed cost of $1430. It costs $63 to produce each jacket. The selling price is $76 per jacket. De

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve the problem. An-Mei owns a business making and selling jackets. She has a fixed cost of $1430. It costs $63 to produce each jacket. The selling price is $76 per jacket. De      Log On


   



Question 470417: Solve the problem.
An-Mei owns a business making and selling jackets. She has a fixed cost of $1430. It costs $63 to produce each jacket. The selling price is $76 per jacket. Determine the number of jackets that must be made and sold in order to break even.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
An-Mei owns a business making and selling jackets. She has a fixed cost of $1430.
It costs $63 to produce each jacket. The selling price is $76 per jacket.
Determine the number of jackets that must be made and sold in order to break even.
:
We have two equations, let x = no. of jackets
Cost
C = 63x + 1430
and
Revenue
R = 76x
:
Break even occurs when R = C, therefore
76x = 63x + 1430
76x - 63x = 1430
13x = 1430
x = 1430%2F13
x = 110 jacket have to be produced to break even
:
:
Prove this to yourself
76(110) =
63(110) + 1430 =
:
That was pretty easy, wasn't it?