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I point(s) possible The function f(x,y,z) = 7x - 4y + 5z has an absolute maximum value and absolute minimum value subject to the constraint

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I point(s) possible The function f(x,y,z) = 7x - 4y + 5z has an absolute maximum value and absolute minimum value subject to the constraint x+ y+ z=90. Use Lagrange multipliers to find these values. Find the gradient of f(x,y,z) = 7x -4y + 5z. Vf ( x , y, z ) = (7. - 4.5 Find the gradient of g(x,y,z) =x + y + z -90. Vg(x,y,z) = Write the Lagrange multiplier conditions. Choose the correct answer below. O A. 7=1(2x), - 4= 1(2y), 5=2(2z), 7x - 4y + 5z =0 O B. 7=1(2x), - 4=2(2y), 5=1(2z), x2 + y2+22 - 90=0 O c. 7=1(2), -4=2(2), 5=2(2), x2 + y2 +22-90=0 OD. 7=2(2), -4=2(2), 5=1(2), 7x - 4y +5z = 0 The absolute maximum value is The absolute minimum value is

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