Question: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = xy subject to the constraint 6x + 3y = 144 if

Use Lagrange multipliers to find the maximum and minimum values of

f(x, y) = xy

subject to the constraint

6x + 3y = 144

if such values exist.

Enter the exact answer. If there is no global maximum or global minimum, enter NA.

Optimal f(x, y) = _______________

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