Question 101691This question is from textbook algebra II (McDougal Littell)
: can you help:
you are starting a business selling boxes of hand-painted greeting cards. to get started, you spend $36 on paint and paintbrushes that you need. Yoou buy boxes of plain cards for $3.50 per box, paint the cards, and then sell them for $5 per box. how many boxes must you sell for your revenue to equal your expenses? What will your revenue and expenses equal when you break even?
HELP ME PLUEEZE
This question is from textbook algebra II (McDougal Littell)
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! you are starting a business selling boxes of hand-painted greeting cards. to get started, you spend $36 on paint and paintbrushes that you need. You buy boxes of plain cards for $3.50 per box, paint the cards, and then sell them for $5 per box. how many boxes must you sell for your revenue to equal your expenses?
:
Let x = number of boxes of cards
:
Cost equation consist of the cost per box times no. of boxes + the fixed cost
Cost = 3.5x + 36
:
The revenue equation is the number of boxes times the retail price per box
Revenue = 5x
:
Break even point occurs when Revenue = cost, so we have:
5x = 3.5x + 36
Simple algebra finds x
5x - 3.5x = 36
1.5x = 36
x = 36/1.5
x = 24 boxes
:
Another words, when you sell 24 boxes you will pay your expenses
:
It also asks:
"What will your revenue and expenses equal when you break even?"
Substitute 24 for x in both equations
:
5 * 24 = $120 is the revenue
and
3.5(24) + 36
84 + 36 = $120 is the expense
:
That's not too difficult to understand, is it?
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