Question: A decision maker wishes to maximize total benefit, B = 3x + xy + y, subject to the cost constraint, C = 4x + 2y

A decision maker wishes to maximize total benefit, B = 3x + xy + y, subject to the cost constraint, C = 4x + 2y = 70. Set up the Lagrangian and then determine the values of x and y at the maximum level of benefit, given the constraint. What are the maximum benefits?

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