document.write( "Question 40035: the monthly revenue achieved by selling x boxes of candy is calculated to be $ x(5-0.05x). the wholesale cost of each box of candy is $1.50. How many boxes must be sold each month to maximize profit?
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document.write( "what is the maximum profit?
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document.write( "(Revenue=Cost +Profit) \n" );
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Algebra.Com's Answer #25472 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! 1. The monthly revenue achieved by selling x boxes of candy is caluculated \n" ); document.write( "> to be $x(5-0.05x). The wholesale cost of each box of candy is $1.50. \n" ); document.write( "c.p of x boxes = 1.5x \n" ); document.write( "profit =p= x(5-0.5x)-1.5x=5x-0.5x^2-1.5x \n" ); document.write( "=3.5x-0.5x^2=-0.5{x^2-2x*3.5+3.5^2}+0.5*3.5^2 \n" ); document.write( "0.5*3.5^2-0.5(x-3.5)^2...hence to get maximum profit theoretically \n" ); document.write( "x=3.5..since this is not possible as x cannot be fraction x=4 or 3 is \n" ); document.write( "the answer \n" ); document.write( "at =4 ..we get \n" ); document.write( "p=0.5*3.5^2-0.5*0.5^2= 6\r \n" ); document.write( "\n" ); document.write( "How many boxes must be sold each month to maximize profit? What is the maximim \n" ); document.write( "> profit? \n" ); document.write( "> \n" ); document.write( " |