Find fxfm:fix; and for the following function (8 points) 15) f(x, y) =3x y-2x2 - 2xy+416) Find the values for x and y where the function f(x,y) has an extremum. Will that point be a location of a maximum or a minimum. Use Lagrange Multipliers. (7 points) fry)=xty 2x+ y =101'?) Find the relative maximums and minimums for the following function with the following constraints. Use Lagrange Multipliers. ('3' points] flay) = 2x): 4x3 + 6);" 21 J? = 24 18) A sports company has the following production function for a certain product, where p(x,y) is the number of units produced with x units of labor and y units of capital. Complete parts (a) thru (d) below. (9 points total) p(x, y) = 2000x45 yu's p(x, y) = 2000x4/5 1/5 Part A) Find the number of units produced with 25 units of labor and 1435 units of capital Part B) Find equations for marginal productivity labor and capital Part C) Find the marginal productivityes for 25 units of labor and 1435 units of capital Part D) Interpret the meaning of the marginal productivity found in Part C