Consider an economy with the following information: - Production function: Y = 2K1/3L 2/3 - Savings rate: 15% - Depreciation rate: 5% - Population growth rate: 3% - Technological progress rate: 10% a. Determine the steady state level of capital per effective worker, output per effective worker, investment per effective worker, and consumption per effective worker. b. Plot the steady state equilibrium. c. Suppose that the population growth rate increases to 5%, how will the capital per effective worker be affected? Show graphically. d. Suppose that the savings rate decreases to 12%, how will the capital per effective worker be affected? Show graphically.