The number of book that must be sold to break even are 250 books.
STEP - BY -STEP EXPLANATION
What to find?
<em>The number of book that must be sold to break even.</em>
Given:
• Initial cost of puddle book = $325
,
• Binding and packaging each book = 60 cents =$0.6
,
• The price of the book = $1.90
Let x be the number of books.
Cost of production C(x) = $325 + 0.6x
Revenue R(x) = Quantity of items * price
R(x) = x * 1.90 = 1.90x
To break even, the the Revenue must be equal to the cost of production, that is, there is neither profit nor loss.
This implies that:
R(x) = C(x)
1.90x = 325 + 0.6x
Subtract 0.6x from both-side of the equation.
![1.90x-0.6x=325+\cancel{0.6x}-\cancel{0.6x}](https://tex.z-dn.net/?f=1.90x-0.6x%3D325%2B%5Ccancel%7B0.6x%7D-%5Ccancel%7B0.6x%7D)
![1.3x=325](https://tex.z-dn.net/?f=1.3x%3D325)
Divide both-side of the equation by 1.3
![\frac{\cancel{1.3}x}{\cancel{1.3}}=\frac{325}{1.3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ccancel%7B1.3%7Dx%7D%7B%5Ccancel%7B1.3%7D%7D%3D%5Cfrac%7B325%7D%7B1.3%7D)
![x=250](https://tex.z-dn.net/?f=x%3D250)
Therefore, the number of books that must be sold to break even are 250