document.write( "Question 1172948: A bicycle store costs ​$3600 per month to operate. The store pays an average of ​$55 per bike. The average selling price of each bicycle is ​$95
\n" ); document.write( ". How many bicycles must the store sell each month to break​ even? \n" ); document.write( "
Algebra.Com's Answer #798084 by Theo(13342)\"\" \"About 
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they have a fixed cost per month of 3600.
\n" ); document.write( "this cost remains no matter how many bikes they sell.
\n" ); document.write( "they pay an average of 55 per bike.
\n" ); document.write( "they sell each bike for an average of 95.
\n" ); document.write( "their profit is 95 - 55 = an average of 40 per bike.
\n" ); document.write( "3600 / 40 = an average of 90 bikes that have to be sold per month to break even.
\n" ); document.write( "the algebraic formula for the cost is:
\n" ); document.write( "c = 3600 + 55 * x
\n" ); document.write( "x represents the number of bikes bought and sold.
\n" ); document.write( "the algebraic formula for the revenue is:
\n" ); document.write( "r = 95 * x
\n" ); document.write( "the algebraic formula for the profit is:
\n" ); document.write( "p = r - c
\n" ); document.write( "this becomes:
\n" ); document.write( "p = 95 * x - (3600 + 55 * x)
\n" ); document.write( "simplify this formula to get:
\n" ); document.write( "p = 95 * x - 3600 - 55 * x
\n" ); document.write( "simplify to get:
\n" ); document.write( "p = 40 * x - 3600
\n" ); document.write( "you break even when the profit is equal to 0.
\n" ); document.write( "the formula becomes:
\n" ); document.write( "0 = 40 * x - 3600
\n" ); document.write( "add 3600 to both sides of this equation to get:
\n" ); document.write( "3600 = 40 * x
\n" ); document.write( "solve for x to get:
\n" ); document.write( "x = 90.
\n" ); document.write( "when 90 bikes are bought and sold, .....
\n" ); document.write( "the cost is 3600 + 55 * 90 = 8550 and the revenue is 95 * 90 = 8550.
\n" ); document.write( "the profit is revenue minus cost = 0.
\n" ); document.write( "that's the break even point.
\n" ); document.write( "you can graph the revenue and the cost equations and you will see that the break even point is when the number of bikes bought and sold is 90.
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