Consider the following production functions for output and new knowledge. Y = K\"[A[1 samba (1;. A = artists, a c: 1 [2) a] 0n the balanced growth path if = pi, where Fla is balanced growthupath value for 9A. Use this fact and equation {2] to derive an expression for A on the balanced growth path in terms of 3, .93, A, a, o, and L. b) Assume there is no capital [K = D). Use your answer in part [a] and production function of output to obtain an expression for Y on the balanced growth path. Find the value of s R that maximized output on the balanced growth path