Suppose that the utility function for two commodities is given by U=x2y3, and the budget constraint is

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Suppose that the utility function for two commodities is given by U=x2y3, and the budget constraint is 10x+15y=250. Find the values of x and y that maximize utility. Check by graphing the budget constraint with the indifference curve for maximum utility and with two other indifference curves.
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