Question 9: Intertemporal Consumption Decisions and Production Consider the same framework (and endowment) as the previous question. However, Anna can no longer save or borrow. Instead, she may convert her endowment into capital, k, at a rate of 1:1 (e.g. one unit of the consumption good can be converted into one unit of capital). She gets period 2 goods based on this investment in capital. The production function is x2 = Aka, (0,1) 1. Derive Anna's lifetime budget constraint. 2. How much of Anna's endowment of x1 does she choose to convert into k?