1. Using the Harrod-Domar model to prove that the sum of the population growth rate (n) and productivity improvement (p) is smaller than the ratio of the saving (s) and capital-output rates (c). (4 Marks) Hint: Using the mathematical notation of each variable to explain the economic relationships among each defined variable. 2. The economic growth (9) is around 5.9% in China, and please calculate the corresponding saving rate (5) using the results from the previous question. (4 Marks) Note that the depreciation rate (d) is 0.03, and the capitaloutput rate (c) is 3. 3. In the absence of such a savings rate, list at least two possible policies to raise the savings. (2 Marks)