5. (6 marks) Janet has the production function z = f (x, y) = 2%; + J; where x and y are inputs and z is the output. Janet's production function is strictly concave and increasing in each input. You don't need to show this. (a) (4 marks) Find the cost minimizing bundle of inputs as a function of the input prices and output. (b) (2 marks) Find Janet's supply function when the input prices of both inputs are $1 per unit