Difference and Minimum

May 2010
8
0
ind two numbers whose difference is 196 and whose product is a minimum.
 

skeeter

MHF Helper
Jun 2008
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North Texas
ind two numbers whose difference is 196 and whose product is a minimum.
\(\displaystyle x-y = 196\)

\(\displaystyle x = y+196\)

\(\displaystyle P = xy = (y+96)y\)

find the minimum value of the product \(\displaystyle P\)