document.write( "Question 510130: Your club is selling candles to raise money. It costs $100 to rent a booth to sell candles. If the candles cost $1 each and are sold for $5 each, how many candle must be sold to equal your expenses? \n" ); document.write( "
Algebra.Com's Answer #341718 by oberobic(2304)\"\" \"About 
You can put this solution on YOUR website!
Profit = Total Revenue - Total Cost
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\n" ); document.write( "Total Cost = Variable Cost per Unit * Number of Units Produced + Fixed Costs
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\n" ); document.write( "Total Revenue = Sales Price * Units Sold
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\n" ); document.write( "x = number of candles
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\n" ); document.write( "TC = $1/candle * x candles + $100
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\n" ); document.write( "TR = $5/candle * x
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\n" ); document.write( "We want to find the point where TC =TR, which is the break-even point.
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\n" ); document.write( "1x + 100 = 5x
\n" ); document.write( "100 = 4x
\n" ); document.write( "x = 25
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\n" ); document.write( "So when you sell 25 candles at $5, you achieve $0 profitability.
\n" ); document.write( "Of course, that means you have paid your fixed costs ($100).
\n" ); document.write( "In turn that means the rest of your candles sales contribute profit.
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\n" ); document.write( "In the following graph, the red line is TC and the green line is TR.
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\n" ); document.write( "\"graph%28500%2C500%2C-5%2C30%2C-4%2C150%2Cx%2B100%2C5%2Ax%29\" \n" ); document.write( "
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