If the utility function for two commodities is U x 2 y and the budget constraint is 2 x 4 y 24, find the values of x and y that maximize utility

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If the utility function for two commodities is U = x 2 y and the budget constraint is 2 x + 4 y = 24,

If the utility function for two commodities is

U = x²y

and the budget constraint is

2x + 4y = 24,

find the values of x and y that maximize utility.

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