Write out the solutions to the dual problem of maximizing U subject to and minimizing expenditure given utility of . Let in both cases and find the indirect utility function and the indirect expenditure function. Note, this requires that you find the Marshallian and Hicksan demands. Comment of the SOSC in each case.

answer: marginal utility of the fourth brownie is 0.

explanation: marginal utility is the addtional utility gained from the consumption of one more unit of a good. it is given by,

so, marginal utility at the 4th unit will be given by

since, the values are not given here, you can simply find marginal utility at fourth unit by subtracting total utility at 3rd unit from total utility at 4th unit.

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