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OpenStudy (anonymous):
Find the maximum value of f(x,y)=6xy subject to the constraint x+y=10. When does the maximum value of f(x,y) occur?
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OpenStudy (anonymous):
y = 10-x 6x*y = 6x*(10-x) =60x-6x^2
OpenStudy (anonymous):
First derivative of that: 60-12x Set equal to 0 and solve: -12x = -60 x = 5
myininaya (myininaya):
looks good smooth
myininaya (myininaya):
f(5,10-5)=f(5,5)=6(5)(5)=150 is the max value right?
OpenStudy (anonymous):
Yeah. Should be.
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