b) A firm has a Cobb-Douglas production function given by Q = 10L0.8K0.2 where Q is output, and L is the quantity of labour employed and K is the quantity of capital employed. What combination of L and K will be chosen to maximise output if the total cost of production is C500, the wage rate is (10 per labour unit employed and capital costs (15 per unit? At what level of Q is output maximised? [45 marks]