Note: There are may be other questions related to this one. It is strongly recommended that write down your answer to this question in case you need to use it later. Consider an one person, two good, one input economy. This is "Lea's Economy". Lea's utility function is U = X'I/b y'I-llb where b=4, x denotes her consumption of good X, and y denotes her consumption of good Y. The production function of good X is given by X = 15 LX and the production of Y is given by Y = 2 LYZ, where LX and LY denote respectively the amount of labour used in the production of good X and in the production of good Y. The total amount of labour in the economy is 806. Derive the (equation for the) production possibilities frontier (PPF) of this economy. Then enter below the opportunity cost of one more unit of good X at the point where X = 15