Question: 6. Utility Function: U(X, Y) = x /ay2/3. Budget Constraint: 3X + 8Y = 72 a. Calculate the utility maximizing amount of X and Y.

6. Utility Function: U(X, Y) = x /ay2/3. Budget Constraint: 3X + 8Y = 72 a. Calculate the utility maximizing amount of X and Y. b. Calculate the slope of the Engel curve for X. 7. Utility Function: U(X, Y) = X3p6. Budget Constraint: 3X + 8Y = 72 a. Calculate the utility maximizing amount of X and Y b. Calculate the slope of the Engel curve for X. 8. Utility Function: U(X. Y) = x5y10. Budget Constraint: 3X + 8Y = 72 a. Calculate the utility maximizing amount of X and Y b. Calculate the slope of the Engel curve for X

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