Question: Use Lagrangian method 2. Amina has the following utility function: U= X2 + Y2 where X is her consumption of candy bars and Y is

Use Lagrangian method

$Use Lagrangian method 2. Amina has the following utility function: U= X\"2$

2. Amina has the following utility function: U= X\"2 + Y\"2 where X is her consumption of candy bars and Y is her consumption of espressos, Use \"1\" for income. a. Derive Amina's demand functions (prior to knowing the prices !) for candy bars and espressos demand functions for candy bars and espressos (note that a demand lnctions for X and Y will be functions of PX , P,,, and I.) b. Assume that Px=$l, Py=$3, and income I=$100. How many candy bars and espressos will Amina consume? What is her level of utility at this amount? c. What is her marginal utility of income? Check it with respect to the derivative of both goods. (note: you may round to two place decimals)

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