For each of the following utility functions, calculate a. MRS (if applicable) - is it homothetic? Convex? b. Draw an indifference curve (does not have to be exact - just get the general shape) c. Marshallian Demand d. Hicksian Demand e. Indirect Utility Function f. Expenditure Function g. Total, Income and Substitution Effects for a small price change (i.e. using the derivative) for good a (show Slutsky equation holds) h. Own price elasticity (with respect to good a)