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

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