Question 1 11 Points Suppose That The Production Function Is Given By Y 0 5 X Vkvn 1 Derive The Steady State Levels 1 (37.02 KiB) Viewed 52 times
Question 1 11 Points Suppose That The Production Function Is Given By Y 0 5 X Vkvn 1 Derive The Steady State Levels 2 (30.13 KiB) Viewed 52 times
QUESTION 1: 11 POINTS Suppose that the production function is given by Y = 0,5 x VKVN (1) Derive the steady-state levels of output per worker and capital per worker in terms of the saving rate, s, and the depreciation rate, 8. (2 pt) (2) Derive the equation for steady-state consumption per worker in terms of sand 8. (1 pt) (3) Suppose that 8 -0.05. Derive the steady-state consumption per worker as a function of the saving rate. (1 pt) (1) Based on your answer in part (3), in the blank coordinate plane below, label the axis and plot the soudy-state level of consumption per worker as a function of the saving rate. (3 pt) You can yo to Mtps://www.wolframalpha.com/ and type your function in the search bar. Wolfram Alpha will generate the plot for you.
(5) Based on your plot in part (1), what is the golden-rule sving rate that maximizes consumption per worker? How does the steady-state level of consumption per worker change as the saving rate clung? (2 pt) (6) Again suppose that 8 -0.05. Derive the steady-state output per worker as a function of the niving rate. How does the steady-state level of output por worker change in the saving rate changer? (2 pl)
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