document.write( "Question 1118953: Solve the optimization problem.
\n" ); document.write( "Minimize S = x + 17y with xy = 17 and both x and y > 0. \n" ); document.write( "

Algebra.Com's Answer #734367 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Then your function to minimize is\r\n" );
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document.write( "S =  = .\r\n" );
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document.write( "Take the derivative on x and equate it to zero:\r\n" );
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document.write( "1 - 289/x^2 = 0  ====>  x^2 = 289  ====>  x = +/-17.\r\n" );
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document.write( "Answer.  The local extremum values of x  are  17  and  -17.\r\n" );
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document.write( "         In the domain  x > 0  only the solution x= 17 works.\r\n" );
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document.write( "Plot of the function  S = \r\n" );
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