Katie's preferences display completeness, transitivity, nonsatiation, and a diminishing marginal rate of substitution. > Katie's monthly income is M = 1000 dollars and the price of X is Px = 10 dollars. > Katie buys X = 30 units of X, spending the rest on all other goods (AOG). Suppose Katie's monthly income rises to M = 1300 and the price of X rises to Px = 20. Prove your answers with a GRAPH: a. Will Katie buy more X, less X, or the same quantity of X as before? b. Is Katie better off, worse off, or exactly as well off as before?

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