calculate the following

5. Let z m x' + wy + w', where war+s' y = 15 Using the chain rule, find the partial derivative z. (10 points. 2 points only if you find the derivative through substitution.)\f3. Find the partial derivative " of the implicit function dy In x + Iny - Inz =e (10 points). Hint: Remember that z is assumed to be a function of y. L2. Consider two products, A and B, whose demand is a function of the prices of both A and B: . 200 PAPAZ 1000 PAPE Find A and 2 ( 8 points) and determine whether A and Bare aPA complements, substitutes (competitive goods), or neither (2 points).1. Cobb Douglas production functions are typically written in the form P = ALKI-P p (B) Show that ap ak =#. (6 points for finding the correct derivative, 4 points for proving the equality.) Can show this in two ways