Suppose Mia's utility function on lemon soda (X) and chips (Y) is given by U(X,Y) = X0.5Y0.5 She has $80 per month to spend on lemon soda (X) and chips (Y). The prices of lemon soda (PX) and chips  (PY)  are $2 and $4 respectively.a. Solve for her optimal consumption bundle of lemon soda (X*) and chips (Y*)?                 i.  Optimal Consumption in lemon soda (X*) :                 ii.  Optimal Consumption in chips (Y*) :      b. Suppose the price of lemon soda (X) increases to $8, what is the new optimal bundle?               i.  Optimal Consumption in lemon soda (X*) :                  ii.  Optimal Consumption in chips (Y*) :

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter10: Consumer Choice Theory
Section: Chapter Questions
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Suppose Mia's utility function on lemon soda (X) and chips (Y) is given by U(X,Y) = X0.5Y0.5

  • She has $80 per month to spend on lemon soda (X) and chips (Y).
  • The prices of lemon soda (PX) and chips  (PY)  are $2 and $4 respectively.


    a. Solve for her optimal consumption bundle of lemon soda (X*) and chips (Y*)?

 

              i.  Optimal Consumption in lemon soda (X*) :  

              ii.  Optimal Consumption in chips (Y*) :   

  b. Suppose the price of lemon soda (X) increases to $8, what is the new optimal bundle?

              i.  Optimal Consumption in lemon soda (X*) :   

              ii.  Optimal Consumption in chips (Y*) :

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