2. The "per person" versions of production functions: Write each production function given below in terms of output per person y = Y/L and capital per person k = K/L. Show what these "per person" versions look like in a graph with k on the horizontal axis and y on the vertical axis. (Assume A is some fixed positive number.) (a) Y = K1/312/3 and Y = K3/4[1/4 (on the same graph) (b) Y = K (c) Y = K+ AL (d) Y = K - AL