Answer to Question #231958 in Civil and Environmental Engineering for Ustad ji

Question

Use Lagrange multipliers to find the maximum value of h(x, y, z) = xy² z³ subject to the constraint x + y + z = 6, x > 0, y > 0, z > 0. O h(1, 1, 4) = 64 O h(2, 2, 2) = 64 O h(1, 2, 3) = 10 O h(1,2,3) = 108 O h(1,2,3) = 101

Answer 1

The global maxima will be: