Find the extremum of​ f(x,y) subject to the given​ constraint, and state whether it is a maximum or a minimum.   f(x,y)=x^2+3y^2-3xy; x+y=14

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Find the extremum of​ f(x,y) subject to the given​ constraint, and state whether it is a maximum or a minimum.
 
f(x,y)=x^2+3y^2-3xy;
x+y=14
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