The aggregate production function for a given economy is = %', whererepresents output,represents inputs of capital,represents inputs of labour, and,andare all strictly positive constants.

1. a)Draw a sketch of the total product of labour (holding capital fixed at an arbitrary level)
2. b)Draw a sketch of the marginal product of labour (holding capital fixed at an arbitrary level)
3. c)Now suppose = 0.3and = 0.7. If capital and labour grow continuously at 3% and 2% respectively, what growth rate of output should be expected?