[15 points total] Suppose that output per worker is given by y=3kD-5, n=.03 (i.e.3%), d=.07 {i.e. 7%}, and that the savings rate is 20%. SHOW WORK FOR ALL CALCULATIONS. a. [2 points] Draw a diagram that shows the golden rule level of capital-labor ratio and maximum consumption (hint: 0 should be on y-axis}. Also draw in k_max {maximum k) on the same diagram. [do not caicuiateusf draw] b. [5 points] Use the info above to calculate the steady state levels of the following 4 variables: capital per worker, output per worker, consumption per worker, and savings per worker. c. [1 point] Now suppose that the economy is NOT yet at steady state, and that the economy is where the capital-labor ratio is equal to 25. How much is the economy investing in capital at this point? i.e. calculate the investment per worker that takes place at this level of k. d. [7" points] Use the Solow Growth model to show [GRAPH] and to discuss thei_mpact of a FALL in population growth rate [n], In your discussion, elaborate on the impact of the shock on the steady state level of k, y, and c. Make sure you provide intuitive economic reasoning for the movement of the economy from the old steady state to the new steady state. LABEL DIAGRAM! (diagram 3.5 points 8: discussion 3.5 points)