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2. Suppose the production function is Cobb-Douglas: Y = K'tLl'a . A new factor of production, R, which is the ow of services from Robots, is discovered. Assume that a is the same as before. 3. Assume the new production function is also Cobb-Douglas: Y = KaRbLl'a'b, where a and b are greater than zero, and a + b is less than one. Under this new production function, what is labor's share of income, is it the same as when there were no Robots? . Explain the effect of increasing the quantity of Robots on labor's share of income b. Suppose instead that Robots are a kind of capital: K = K0 + R, where K0 represents all other forms of capital, like buildings and equipment, so the production function is still Y = KaLl'a. How does this change your answers to the previous questions