David's utility function for good X and Y is given by U (X,Y) =X2y3. Where px,py and I are the price of good X, price of good Y and consumer income respectively. A. Write the budget constraint of the consumer and  derive the demand function for good X and Y b: What combination of X and Y maximizes the consumer at I=100,px=4,and py=5 c. Calculate the marginal rate of substitution between X and Y at equilibrium and interpret your results.

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