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In: Economics

Ed's utility from vacations (V) and meals (M) is given by the function U(V,M) = V2M....

Ed's utility from vacations (V) and meals (M) is given by the function
U(V,M) = V2M. Last year, the price of vacations was $200 and the price of meals
was $50. This year, the price of meals rose to $75, the price of vacations remained
the same. Both years, Ed had an income of $1500.
a. Set up a Lagrangian to solve utility maximization problem with initial
price and find equilibrium.
b. When price of meals increased repeat the a and find equilibrium.
c. Show both equilibrium in the graph. Place vacation on the vertical axis
and meals on the horizontal axis.
d. show the compensating variation for price change in meals in the graph.
e. Calculate compensating variation as numeric number for the price
change in meals. (Hint: Use expenditure function)
f. Calculatethe equivalent variation as numeric number for the price
change in meals.

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