Maximize f(x, y, z) = x + y + z subject to the constraint $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 1 , x , y , z 0$ Enter your answer as just $3 ^a$ where a is a reduced fraction of form $\frac { b } { c }$ .

Question

Maximize f(x, y, z) = x + y + z subject to the constraint $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 1 , x , y , z > 0$ Enter your answer as just $3 ^a$ where a is a reduced fraction of form $\frac { b } { c }$ .

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The Answer of Maximize f(x, y, z) = x + y + z subject to the constraint $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 1 , x , y , z > 0$ Enter your answer as just $3 ^a$ where a is a reduced fraction of form $\frac { b } { c }$ .

Maximize F(x, Y, Z) = X + Y + Z x2+y2+z2=1,x,y,z>0x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 1 , x , y , z > 0x2+y2+z2=1,x,y,z>0

Maximize F(x, Y, Z) = X + Y + Z $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 1 , x , y , z > 0$