Web Analytics

Questions › Math

Math Asked by a SnapAndSolve user · about 2 hours ago

A small publishing company is planning to publish a new book. The production costs will include one-time...

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). There are two production methods it could use. With one method, the one-time fixed costs will total $21,370, and the variable costs will be $18.25 per book. With the other method, the one-time fixed costs will total $56,722, and the variable costs will be $9.25 per book. For how many books produced will the costs from the two methods be the same?

Answer

Let x be the number of books produced.

The cost for the first method is given by:

Cost1 = 21370 + 18.25x

The cost for the second method is given by:

Cost2 = 56722 + 9.25x

Set the two costs equal to find when they are the same:

21370 + 18.25x = 56722 + 9.25x

Solve for x:

  1. Subtract 9.25x from both sides: 21370 + 9x = 56722
  2. Subtract 21370 from both sides: 9x = 35352
  3. Divide by 9: x = 3928

Therefore, the costs from the two methods will be the same when 3,928 books are produced.

Have a similar question?

Snap a photo of your homework and get a step-by-step answer in seconds. You can ask follow-up questions until it makes sense.

Solve my question free Math help Find a math tutor

More math questions