Find a function for an indifference curve

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Reference no: EM13181134

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

Reference no: EM13181134

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