Leah is running a bake sale for her crew team she pay $45 for supplies to get started in addition it cost about $0.50 to make each item if baked good items sell for $2 each determine how many items Leah and her team will need to sell in order to break even

Respuesta :

Answer: 30 items


Explanation:


1) Break even ⇒ Profit = 0 or Cost = Revenue.


2) Cost = fixed cost + variable cost

  • fixed cost = supplies = $ 45
  • variable cost = making cost = $0,50x, where x is the number of items
  • cost function = 45 + 0.5x

3) Revenue = price × number of items

  • price = $ 2
  • revenue = 2x

4) Equation

  • cost = revenue
  • 45 + 0.5x = 2x
  • Solve for x:

               2x - 0.5x = 45

               1.5x = 45

               x = 45 / 1.5

               x = 30 ← answer

Q&A Education