1. For the each of the following functions: 1) find a function for an indifference curve that delivers u=u? units of total utility: 2) Calculate the derivative (dy/dx) of the function (i.e. the instantaneous rate of change).
a. u(x,y) = 3x + 2y
b. u(F,C) = 10FC
c. u(F,C) = .2F2C2
2. Find the total differentials of the following functions:
a. u(x,y) = ax + by
b. u(F,C) = 10FC
c. u(F,C) = .2F? C?
d. u(x,y) = (XY)1/2
e. z = 2x3-11x2y +3y2
3. Find the MRS for the following utility functions:
a. u(x,y) = 3x + 2y
b. u(F,C) = 10FC
c. u(F,C) = .2F2C2