2) The productivity of a certain company is given by (, ) = 100^0.4 ^0.6 where is labor

units and is capital units. If the company is currently utilizing 40 units of labor and 30 units of capital, find the rate of change of productivity with respect to (a) the labor units and (b) the capitol units.

3. The profit obtained from selling two styles of a product is given by the following equation, where is the number of units of the first style and is the number units of the second style. If exactly 250 total units are manufactured, how many units of each style should be sold to maximize profit? What is that maximum profit?

(,)=0.3^2 +0.2^2 +20+7+200

4. Find all local maxima. Minima, and saddle points for the function:

(, ) = ^2 2^2 + 4^2