Question

Find the values of x,y, and z that maximize xyz subject to the constraint 840−x−5y−14z=0. x=

Answer 1

To find the values of x, y, and z that maximize xyz subject to the constraint 840−x−5y−14z=0, we can use the method of Lagrange Multipliers.

Step-by-step explanation:

To find the values of x, y, and z that maximize xyz subject to the constraint 840−x−5y−14z=0, we can use the method of Lagrange Multipliers. Firstly, we need to form the Lagrangian function L(x, y, z, λ) = xyz + λ(840−x−5y−14z). Next, we find the partial derivatives of L with respect to x, y, z, and λ, and set them equal to zero. Solving this system of equations will give us the values of x, y, and z that maximize xyz.