Two countries, Richland and Poorland, are described by the Solow model. They have the same Cobb-Douglas production function F ( K , L ) = A K^αL ^1−α , but with different quantities of capital and labor. Richland saves 32% of its income, while Poorland saves 10 percent. Richland has population growth of 1% per year, while Poorland has population growth of 3% per year. (The numbers in this problem are chosen to be approximately realistic descriptions of rich and poor nations.) Both nations have technological progress at a rate of 2% per year and depreciation at a rate of 5% per year. Answer the following questions about Richland and Poorland. a. What is the per-worker production function f(k)?b. Solve for the ratio of Richland's steady state income per worker to Poorland'sc. If the Cobb-Douglas parameter alpha takes the conventional value of about 1/3, how much higher should income per worker be in Richland compared to Poorland?d. Income per worker in Richland' is actually 16 times that of income per worker in Poorland. Can you explain this fact by changing the value of parameter alpha? What must it be? Can you think of any way of justifying such a value for this parameter?