Question: Use the method of Lagrange multipliers to solve this exercise. My orchid garden abuts my house so that the house itself forms the northern boundary.

Use the method of Lagrange multipliers to solve this exercise.

My orchid garden abuts my house so that the house itself forms the northern boundary. The fencing for the southern boundary costs $8per foot, and the fencing for the east and west sides costs $4per foot. If I have a budget of $192for the project, what is the largest area I can enclose?

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