document.write( "Question 1128390: The sum of two numbers is 20. Find the numbers and their product if their product is a maximum \n" ); document.write( "

Algebra.Com's Answer #744853 by math_helper(2461) $\"\"$ $\"About$

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$\"+highlight%28+10+%29+\"$ and $\"+highlight%28+10+%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "Product = $\"+highlight%28+100+%29+\"$
\n" ); document.write( "ЧЧ\r
\n" ); document.write( "\n" ); document.write( "Workout:
\n" ); document.write( "A+B = 20
\n" ); document.write( "P = AB = A(20-A)\r
\n" ); document.write( "\n" ); document.write( "dP/dA = 20-2A
\n" ); document.write( "dP/dA = 0 = 20 - 2A Ч> A=10 Ч> B=10\r
\n" ); document.write( "\n" ); document.write( " $\"d%5E2P%2FdA%5E2+=+-2++\"$ so the function is concave down and the value found above for A is maximal.\r
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