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 $ 31,905 . The variable costs will be $ 8.50 per book. The publisher will sell the finished product to bookstores at a price of $ 19.75 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Step-by-step explanation:

Let x = no. of books

:

Cost = 12.50x + 54150

:

Revenue = 25x

:

Rev = cost

25x = 12.5x + 54150

25x - 12.50x = 54150

12.5x = 54150

x = 54150%2F12.5

x = 4332 books need to be sold to cover production costs

:

:

Check:

c = 12.50(4332) + 54150

c = 54150 + 54150

c = 108300

:

r = 25(4332)

r = 108300

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

a

step-by-step explanation: