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kate gets utility from Cacti C and econ books E in the form: U(C,E)=sprt CE A:...

kate gets utility from Cacti C and econ books E in the form: U(C,E)=sprt CE

A: her income is 200$, the price of cacti is 20$, and the price of econ books is 50$. Using lagrangian, find the optimal consumption bundle and the utility at the orginal prices.

B: Solve for variable λ and interpret the meaning of value of λ.

C:if econ books increases to 100$ and cacti stays the same as 20$, what does Kate consume at the optimal at these new prices? decompose change into total sub and income effect and show calculation

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