Question: In a utility maximization problem, Max x,y U( x, y) = 4xy, the consumer needs to spend all of her budget and the budget constraint

In a utility maximization problem, Maxx,y U( x, y) = 4xy, the consumer needs to spend all of her budget and the budget constraint is 2x + 4y = I.

Would the laranger multiplier of this problem always be positive or

it can equal to zero?

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