Let [/tex]F(K, L)= AK^aL^b[/tex] and .
The max and/or min occure when for some number . Take the gradients of F and G, put them into that equation, write the equations given by the two components, and find all values K and L that satisfy it. (You do not need to find . I find that dividing one equation by another is a good strategy since it eliminates and don't for get that is another equation of K and L.)