document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=985375>Question 985375</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Divide 50 into two parts such that the product is maximum </SPAN>\n" );
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document.write( "Let y=the maximum product<BR>\n" );
document.write( ".<BR>\n" );
document.write( "y=x(50-x) The maximum is when first derivative of the function=0<BR>\n" );
document.write( "y=50x-x^2<BR>\n" );
document.write( "dy/dx=50-2x Set derivative=0<BR>\n" );
document.write( "0=50-2x<BR>\n" );
document.write( "-50=-2x<BR>\n" );
document.write( "25=x ANSWER: The product is maximum when both parts are 25. </SPAN>\n" );
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