(a) The production function is given as F(x, y) = 10xy where x and y are the amount of inputs. Confirm if this function is Homogeneous Function. If it is, what is the degree? In order to double the output, how much each input should be increased? At (x,y)=(2, 3), derive the function for the tangency line. (b) (c) (d) Confirm Euler's Theorem for the production function. (xf, +yf'y=kf(x,y))