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Minimize F = x2 + y2 with x + 2y = 5

Thank you
11 years ago

Answers

Steve
F = (5-2y)^2 + y^2
= 25-20y+4y^2+y^2
= 5y^2-20y+25
= 5(y^2-4y+5)

y^2-4y+25 = (y-2)^2 + 21
so has minimum at y=2

so, x=1 and

F(1,2) = 5
11 years ago

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