here is the problem:
Suppose you write a book. The printer charges $4 per book to print it, and you spend $3500 on advertising. You sell the book for $15 a copy. How many copies must you sell so that your income from sales is greater than your total cost?
please help!!! i have an exam tomorrow and i need to know this please!
2006-09-21 13:53:33 · 16 answers · asked by Anonymous in Education & Reference ➔ Homework Help
x = number of books
5x + 3500 < 15x
3500 < 10x
350 < x
you have to sell more than 350 books
2006-09-21 13:56:06 · answer #1 · answered by Jenny H 3 · 0⤊ 3⤋
i think this is right you need to sell about 385 copys! here is how i did it!
The printer charges $4 per book to print it
$3500 on advertising
$15 a copy
o.k so since you sell 15 a copy and the printer charges 4 per book you know that at the end is gona be eleven 15-4= 11
and you wast 3500 on advertising
divede 3500 by eleven it should give you about 385.something round it up and you should get the answer good luck!
2006-09-21 13:59:20 · answer #2 · answered by soccerdude 2 · 1⤊ 1⤋
Answer: 319 books.
This is a simple algebra question. Let x = number of books.
The book sells for $15 and costs 4, so the coefficient of the books is 11.
11x > 3500
x > 318.182 or 319 books
------------
Check your answer by plugging it into the original word question.
Total cost = $3500 (advertising) + 319 * $4 (printing)
= 3500 + $1276
= $4776
Total income from sale of books = 319 * $15/ea. = $4785
2006-09-21 14:08:10 · answer #3 · answered by Mitch 7 · 0⤊ 1⤋
Okay, if the books cost $4.00 to print, and you're selling them for $15.00 each, then you will make an $11.00 profit on each book, so you have to find x for 11x = 3500.00. Just divide 3500 by 11, then round up, so according to my calculations, you will have to sell 318.181818 books, to break even or if you round up, at least 319 books , so to show a profit, you have to sell 320 books. Or, to put it simply, 3500 / (15 - 4 ) = x
2006-09-21 14:09:32 · answer #4 · answered by scooby70392 1 · 0⤊ 0⤋
Your profit on each book is 15-4=11.
11x=3500 (x being the number of books sold
x=318.18, but you can't sell .18 books, so round up to 319
2006-09-21 13:58:19 · answer #5 · answered by just browsin 6 · 2⤊ 0⤋
I believe this is a variable and fixed cost problem...
4x + 3500 = 15x which would give you your break even point.
So solve for that.. which is roughly 318 books. Therefore you'd need to sell 319 books to have an income above 0.
I could be wrong.. long time no math.
2006-09-21 13:56:56 · answer #6 · answered by Anonymous · 0⤊ 1⤋
What you want to get to is a equation that looks like this:
SOLD=COST
Which will look like this:
SOLD=(Variable cost) + (Fixed cost)
Ok, so your fixed cost is 3,500 (I'm not using $ b/c this is math, unless your teacher requires it, don't use symbols like this until you're doing physics/chemistry). Again, fixed coast is 3,500. This means no matter how many books you sell/produce (books are your variable x), you are stuck with the 3,500, so it will have no variable.
Now, your variable cost is the number of books produced (x) multiplied by the cost to produce them (4). So your variable cost is 4x.
What you have looks like this:
SOLD=4x+3500
To figure out how many you have to sell, you have the price of the book (15) and the number of books sold, which will equal those produced (x). So the number sold is 15x.
What the final equation looks like is:
15x=4x+3500
Solve for x and that gives you the number of book you have produced and sold.
2006-09-21 14:02:54 · answer #7 · answered by Short Round 1 · 1⤊ 0⤋
total cost = 4x+3500 where x is the number of books printed. Income is 15x. Break even point is when both are equal.
4x+3500 = 15x therefore 11x = 3500. Break even is x = 3500/11 = 319 books.
2006-09-21 13:58:30 · answer #8 · answered by Anonymous · 0⤊ 1⤋
okay so here is how i answered this....
i talked myself through it....you spent 3500 and each book was 4 each....so 4 divided by 3500 is 875 (that is how many books you got)
that is your money you spent .....now....you sell the books at 15 each you divide that by 3500 (because you need to know how many to sell to give them their money) giving you 233 books to make 3500
therefore you would sell 234 books and make a profit.
234X15 = 3510 there you made a profit.
2006-09-21 14:09:43 · answer #9 · answered by Chef Susy--Cookin it up! 4 · 0⤊ 0⤋
advertising $ 2500
book sells for $ 15
printing cost per book $ 4
profit per book $ 11
divide advertising cost ($2500) by profit ($11) = 227.27
to start making a profit you would need to sell 228 books
2006-09-21 14:14:27 · answer #10 · answered by Anonymous · 0⤊ 0⤋
319
2006-09-21 14:04:28 · answer #11 · answered by territheterribleliar 4 · 1⤊ 0⤋