. Consider an economy called Choiceland that has 250 workers and produces only two goods, X and Y. Labour is the only factor of production, but some workers are better suited to producing X than Y (vice versa). The table below shows the maximum levels of output of each good possible from various levels of labour input. Number of Annual Number of Annual Workers Production of X Workers Production of Y Producin X Producin Y 0 0 250 1300 50 20 200 1200 100 45 150 900 150 60 100 600 200 70 50 350 250 75 0 0 a) Draw the production possibilities boundary for choice on a scale diagram, with the production of X on the horizontal axis and the production of Y on the vertical axis. (2 marks) b) Compute the opportunity cost of producing an extra 15 units of X if the economy is initially producing 45 units of X and 900 units of Y. How does this compare to the opportunity cost if the economy were initially producing 60 units of X and 600 units of Y. (2 marks) c) If Choiceland is initially producing 40 units of X and 600 units of Y, what is the opportunity cost of producing an extra 20 units of X. (1.5 marks) d) Suppose now that the technology associated with producing good Y improves, so that the maximum level of Y that can be produced from any given level of labour input increases by 10 percent. Explain and show in a diagram what happens to the production possibilities curve. (2 marks)