Write each production function given below in terms of output per person y ≡ Y/L and capital per person k ≡ K/L. Plot these per person versions in a graph with y on the vertical axis and k on the horizontal axis. (You can assume A is a constant positive number).
a) Y = AK^1/3L^2/3 and Y = AK^3/4L^1/4 (plot them on the same graph).
b) Y=K.
c) Y = K + AL
d) Y = K – AL