document.write( "Question 1049150: The cost, in dollars, to produce x \"I'd rather be a Sasquatch\" T-Shirts is
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document.write( "C(x)=2x+26, x≥0 and the price-demand function, in dollars per shirt, is
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document.write( "p(x)= 30-2x, 0≤x≤15.\r
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document.write( "a)Find the profit function P(x).
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document.write( "b)Find the number of items which need to be sold in order to maximize profit.
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document.write( "c)Find the maximum profit.
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document.write( "d)Find the price to charge per item in order to maximize profit.
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document.write( "e)FIND AND INTERPRET THE BREAK EVEN POINTS.\r
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document.write( "I came up with the following solutions, which are correct per the answer section of my book:
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document.write( "a) P(x)= -2x²+28x-26
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document.write( "b) $7
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document.write( "c) Max profit: $72
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document.write( "d) price to charge for max. profit: $16
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document.write( "e) Cannot figure out. The given solutions per textbook are 1 and 13.\r
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document.write( "Please help me figure out:
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document.write( "FIND AND INTERPRET THE BREAK EVEN POINTS.\r
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document.write( "Thank you!!!
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document.write( "THANK YOU! \n" );
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Algebra.Com's Answer #664800 by ewatrrr(24785)![]() ![]() You can put this solution on YOUR website! e) Calculate and interpret the break-even point \n" ); document.write( "the break-even point: R(x) = C(x) \n" ); document.write( "(30x - 2x^2)=(2x+26) \n" ); document.write( "2x^2 -28x + 26 = 0 \n" ); document.write( "x^2 - 14x + 13 = 0 \n" ); document.write( "(x-13)(x-1) = 0 \n" ); document.write( "x = 1, 13 \n" ); document.write( " |