In: Economics
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.