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). The one-time fixed costs will total $42,705 . The variable costs will be $10.50 per book. The publisher will sell the finished product to bookstores at a price of $21.75 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Question

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). The one-time fixed costs will total $42,705  . The variable costs will be $10.50  per book. The publisher will sell the finished product to bookstores at a price of $21.75  per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

anonymous · Answer

10.50x +42705 = 21.75x

anonymous · Answer

i came up with -x=-3796....is this correct

anonymous · Answer

yes but you want to say 
$$x=3796$$ so your answer makes sense