Answer :
The number of book that must be sold to break even are 250 books.
STEP - BY -STEP EXPLANATION
What to find?
The number of book that must be sold to break even.
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.
[tex]1.90x-0.6x=325+\cancel{0.6x}-\cancel{0.6x}[/tex][tex]1.3x=325[/tex]Divide both-side of the equation by 1.3
[tex]\frac{\cancel{1.3}x}{\cancel{1.3}}=\frac{325}{1.3}[/tex][tex]x=250[/tex]Therefore, the number of books that must be sold to break even are 250
