Interpret the meaning of the Lagrange multiplier in Problem 12.

Data From Problem 12:

The Riverwood Paneling Company makes two kinds of wood paneling: Colonial and Western. The company has developed the following nonlinear programming model to determine the optimal number of sheets of Colonial paneling (x₁) and Western paneling (x₂) to produce to maximize profit, subject to a labor constraint:

                         Determine the optimal solution to this nonlinear programming model.